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Homogeneous isosceles-free spaces. 同质无等腰空间
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2024-01-01 Epub Date: 2024-05-21 DOI: 10.1007/s13398-024-01587-y
Christian Bargetz, Adam Bartoš, Wiesław Kubiś, Franz Luggin
{"title":"Homogeneous isosceles-free spaces.","authors":"Christian Bargetz, Adam Bartoš, Wiesław Kubiś, Franz Luggin","doi":"10.1007/s13398-024-01587-y","DOIUrl":"https://doi.org/10.1007/s13398-024-01587-y","url":null,"abstract":"<p><p>We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called <i>isosceles-free</i>. In particular, we characterize all homogeneous isosceles-free spaces up to isometry as vector spaces over the two-element field, endowed with an injective norm. Using isosceles-free decompositions, we provide bounds on the maximal number of distances in arbitrary homogeneous finite metric spaces.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"118 3","pages":"118"},"PeriodicalIF":2.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11108961/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141088692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Absolutely closed semigroups. 绝对闭半群。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2024-01-01 Epub Date: 2023-11-09 DOI: 10.1007/s13398-023-01519-2
Taras Banakh, Serhii Bardyla
{"title":"Absolutely closed semigroups.","authors":"Taras Banakh, Serhii Bardyla","doi":"10.1007/s13398-023-01519-2","DOIUrl":"10.1007/s13398-023-01519-2","url":null,"abstract":"<p><p>Let <math><mi>C</mi></math> be a class of topological semigroups. A semigroup <i>X</i> is called <i>absolutely</i> <math><mi>C</mi></math><i>-closed</i> if for any homomorphism <math><mrow><mi>h</mi><mo>:</mo><mi>X</mi><mo>→</mo><mi>Y</mi></mrow></math> to a topological semigroup <math><mrow><mi>Y</mi><mo>∈</mo><mi>C</mi></mrow></math>, the image <i>h</i>[<i>X</i>] is closed in <i>Y</i>. Let <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mn>1</mn></mrow></msub><mi>S</mi></mrow></math>, <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mn>2</mn></mrow></msub><mi>S</mi></mrow></math>, and <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mi>z</mi></mrow></msub><mi>S</mi></mrow></math> be the classes of <math><msub><mi>T</mi><mn>1</mn></msub></math>, Hausdorff, and Tychonoff zero-dimensional topological semigroups, respectively. We prove that a commutative semigroup <i>X</i> is absolutely <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mi>z</mi></mrow></msub><mi>S</mi></mrow></math>-closed if and only if <i>X</i> is absolutely <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mn>2</mn></mrow></msub><mi>S</mi></mrow></math>-closed if and only if <i>X</i> is chain-finite, bounded, group-finite and Clifford + finite. On the other hand, a commutative semigroup <i>X</i> is absolutely <math><mrow><msub><mi>T</mi><mrow><mspace></mspace><mn>1</mn></mrow></msub><mi>S</mi></mrow></math>-closed if and only if <i>X</i> is finite. Also, for a given absolutely <math><mi>C</mi></math>-closed semigroup <i>X</i> we detect absolutely <math><mi>C</mi></math>-closed subsemigroups in the center of <i>X</i>.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"118 1","pages":"23"},"PeriodicalIF":2.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10632307/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134650536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Richards's curve induced Banach space valued ordinary and fractional neural network approximation. Richards曲线诱导Banach空间值普通和分数神经网络逼近。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2023-01-01 Epub Date: 2022-11-05 DOI: 10.1007/s13398-022-01343-0
George A Anastassiou, Seda Karateke
{"title":"Richards's curve induced Banach space valued ordinary and fractional neural network approximation.","authors":"George A Anastassiou,&nbsp;Seda Karateke","doi":"10.1007/s13398-022-01343-0","DOIUrl":"https://doi.org/10.1007/s13398-022-01343-0","url":null,"abstract":"<p><p>Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional derivatives. Our operators are defined by using a density function generated by the Richards curve, which is generalized logistic function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"117 1","pages":"14"},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9638447/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40684806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Three families of q-supercongruences modulo the square and cube of a cyclotomic polynomial. 三个q-超共轭族模分圆多项式的平方和立方体。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2023-01-01 Epub Date: 2022-10-16 DOI: 10.1007/s13398-022-01338-x
Victor J W Guo, Michael J Schlosser
{"title":"Three families of <i>q</i>-supercongruences modulo the square and cube of a cyclotomic polynomial.","authors":"Victor J W Guo,&nbsp;Michael J Schlosser","doi":"10.1007/s13398-022-01338-x","DOIUrl":"https://doi.org/10.1007/s13398-022-01338-x","url":null,"abstract":"<p><p>In this paper, three parametric <i>q</i>-supercongruences for truncated very-well-poised basic hypergeometric series are proved, one of them modulo the square, the other two modulo the cube of a cyclotomic polynomial. The main ingredients of proof include a basic hypergeometric summation by George Gasper, the method of creative microscoping (a method recently introduced by the first author in collaboration with Wadim Zudilin), and the Chinese remainder theorem for coprime polynomials.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"117 1","pages":"9"},"PeriodicalIF":2.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9573859/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40649921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. 薛定谔算子的阿格蒙-阿列格雷托-皮彭布林克原理
IF 1.8 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2022-01-01 Epub Date: 2022-07-13 DOI: 10.1007/s13398-022-01293-7
Stefano Buccheri, Luigi Orsina, Augusto C Ponce
{"title":"An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators.","authors":"Stefano Buccheri, Luigi Orsina, Augusto C Ponce","doi":"10.1007/s13398-022-01293-7","DOIUrl":"10.1007/s13398-022-01293-7","url":null,"abstract":"<p><p>We prove that each Borel function <math><mrow><mi>V</mi> <mo>:</mo> <mi>Ω</mi> <mo>→</mo> <mo>[</mo> <mrow><mo>-</mo> <mi>∞</mi></mrow> <mo>,</mo> <mo>+</mo> <mi>∞</mi> <mo>]</mo></mrow> </math> defined on an open subset <math><mrow><mi>Ω</mi> <mo>⊂</mo> <msup><mrow><mi>R</mi></mrow> <mi>N</mi></msup> </mrow> </math> induces a decomposition <math><mrow><mi>Ω</mi> <mo>=</mo> <mi>S</mi> <mo>∪</mo> <msub><mo>⋃</mo> <mi>i</mi></msub> <msub><mi>D</mi> <mi>i</mi></msub> </mrow> </math> such that every function in <math> <mrow><msubsup><mi>W</mi> <mn>0</mn> <mrow><mn>1</mn> <mo>,</mo> <mn>2</mn></mrow> </msubsup> <mrow><mo>(</mo> <mi>Ω</mi> <mo>)</mo></mrow> <mo>∩</mo> <msup><mi>L</mi> <mn>2</mn></msup> <mrow><mo>(</mo> <mi>Ω</mi> <mo>;</mo> <msup><mi>V</mi> <mo>+</mo></msup> <mspace></mspace> <mi>d</mi> <mi>x</mi> <mo>)</mo></mrow> </mrow> </math> is zero almost everywhere on <i>S</i> and existence of nonnegative supersolutions of <math><mrow><mo>-</mo> <mi>Δ</mi> <mo>+</mo> <mi>V</mi></mrow> </math> on each component <math><msub><mi>D</mi> <mi>i</mi></msub> </math> yields nonnegativity of the associated quadratic form <math> <mrow><msub><mo>∫</mo> <msub><mi>D</mi> <mi>i</mi></msub> </msub> <msup><mrow><mo>(</mo> <mo>|</mo> <mi>∇</mi> <mi>ξ</mi> <mo>|</mo></mrow> <mn>2</mn></msup> <mo>+</mo> <mi>V</mi> <msup><mi>ξ</mi> <mn>2</mn></msup> <mrow><mo>)</mo> <mo>.</mo></mrow> </mrow></math>.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"116 4","pages":"151"},"PeriodicalIF":1.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9279265/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40515390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free Banach lattices under convexity conditions. 凸性条件下的自由Banach格。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2022-01-01 Epub Date: 2021-10-11 DOI: 10.1007/s13398-021-01155-8
Héctor Jardón-Sánchez, Niels Jakob Laustsen, Mitchell A Taylor, Pedro Tradacete, Vladimir G Troitsky
{"title":"Free Banach lattices under convexity conditions.","authors":"Héctor Jardón-Sánchez,&nbsp;Niels Jakob Laustsen,&nbsp;Mitchell A Taylor,&nbsp;Pedro Tradacete,&nbsp;Vladimir G Troitsky","doi":"10.1007/s13398-021-01155-8","DOIUrl":"https://doi.org/10.1007/s13398-021-01155-8","url":null,"abstract":"<p><p>We prove the existence of free objects in certain subcategories of Banach lattices, including <i>p</i>-convex Banach lattices, Banach lattices with upper <i>p</i>-estimates, and AM-spaces. From this we immediately deduce that projectively universal objects exist in each of these subcategories, extending results of Leung, Li, Oikhberg and Tursi (<i>Israel J. Math.</i> 2019). In the <i>p</i>-convex and AM-space cases, we are able to explicitly identify the norms of the free Banach lattices, and we conclude by investigating the structure of these norms in connection with nonlinear <i>p</i>-summing maps.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"116 1","pages":"15"},"PeriodicalIF":2.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550548/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39623204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Homological properties of $$ell ^1$$-Munn Banach algebras $$ell ^1$$ -Munn Banach代数的同调性质
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2021-04-01 DOI: 10.1007/S13398-020-00990-5
F. Habibian, N. Mirzasani, R. Nasr-Isfahani
{"title":"Homological properties of $$ell ^1$$-Munn Banach algebras","authors":"F. Habibian, N. Mirzasani, R. Nasr-Isfahani","doi":"10.1007/S13398-020-00990-5","DOIUrl":"https://doi.org/10.1007/S13398-020-00990-5","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"19 1","pages":"1-14"},"PeriodicalIF":2.9,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76932198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Lebesgue–Stieltjes combined $$Diamond _alpha $$-measure and integral on time scales Lebesgue-Stieltjes结合$$Diamond _alpha $$ -测度和时间尺度上的积分
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2021-04-01 DOI: 10.1007/S13398-021-01000-Y
Guangzhou Qin, Chao Wang
{"title":"Lebesgue–Stieltjes combined $$Diamond _alpha $$-measure and integral on time scales","authors":"Guangzhou Qin, Chao Wang","doi":"10.1007/S13398-021-01000-Y","DOIUrl":"https://doi.org/10.1007/S13398-021-01000-Y","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"15 1","pages":"1-24"},"PeriodicalIF":2.9,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87852605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Property $$(omega )$$ and its compact perturbations 性质$$(omega )$$及其紧致摄动
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2021-04-01 DOI: 10.1007/S13398-020-00985-2
Lili Yang, Xiao-hong Cao
{"title":"Property $$(omega )$$ and its compact perturbations","authors":"Lili Yang, Xiao-hong Cao","doi":"10.1007/S13398-020-00985-2","DOIUrl":"https://doi.org/10.1007/S13398-020-00985-2","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"78 1","pages":"1-11"},"PeriodicalIF":2.9,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88132637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Padovan numbers which are palindromic concatenations of two distinct repdigits. 帕多瓦数是由两个不同的重码组成的宫位数。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2021-01-01 Epub Date: 2021-04-24 DOI: 10.1007/s13398-021-01047-x
Taboka P Chalebgwa, Mahadi Ddamulira
{"title":"Padovan numbers which are palindromic concatenations of two distinct repdigits.","authors":"Taboka P Chalebgwa, Mahadi Ddamulira","doi":"10.1007/s13398-021-01047-x","DOIUrl":"10.1007/s13398-021-01047-x","url":null,"abstract":"<p><p>In this paper we determine all Padovan numbers that are palindromic concatenations of two distinct repdigits.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"115 3","pages":"108"},"PeriodicalIF":2.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549997/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39578583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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