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Positivity最新文献

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The interplay between algebras and lattices: Stone–Weierstrass for illustration 代数与格之间的相互作用:Stone-Weierstrass举例
3区 数学
Positivity Pub Date : 2023-11-09 DOI: 10.1007/s11117-023-01019-y
Sameh Bououn
{"title":"The interplay between algebras and lattices: Stone–Weierstrass for illustration","authors":"Sameh Bououn","doi":"10.1007/s11117-023-01019-y","DOIUrl":"https://doi.org/10.1007/s11117-023-01019-y","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":" 42","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135241757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
Near order and metric-like functions on the cone of positive definite matrices 正定矩阵锥上的近阶函数和类度量函数
3区 数学
Positivity Pub Date : 2023-11-07 DOI: 10.1007/s11117-023-01020-5
Raluca Dumitru, Jose A. Franco
{"title":"Near order and metric-like functions on the cone of positive definite matrices","authors":"Raluca Dumitru, Jose A. Franco","doi":"10.1007/s11117-023-01020-5","DOIUrl":"https://doi.org/10.1007/s11117-023-01020-5","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"5 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135432813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
On scalarization and well-posedness in set optimization with a partial set order relation 部分集阶关系下集优化的标度性和适定性
3区 数学
Positivity Pub Date : 2023-11-05 DOI: 10.1007/s11117-023-01018-z
Sakshi Gupta, Rekha Gupta, Manjari Srivastava
{"title":"On scalarization and well-posedness in set optimization with a partial set order relation","authors":"Sakshi Gupta, Rekha Gupta, Manjari Srivastava","doi":"10.1007/s11117-023-01018-z","DOIUrl":"https://doi.org/10.1007/s11117-023-01018-z","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"10 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135725041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
Tensorial representation of p-regular multilinear operators between Banach lattices 巴拿赫格间p正则多线性算子的张量表示
3区 数学
Positivity Pub Date : 2023-10-17 DOI: 10.1007/s11117-023-01017-0
Elhadj Dahia
{"title":"Tensorial representation of p-regular multilinear operators between Banach lattices","authors":"Elhadj Dahia","doi":"10.1007/s11117-023-01017-0","DOIUrl":"https://doi.org/10.1007/s11117-023-01017-0","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136032875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
On logarithms of measures 关于测度的对数
3区 数学
Positivity Pub Date : 2023-10-16 DOI: 10.1007/s11117-023-01015-2
H. Raubenheimer, J. van Appel
{"title":"On logarithms of measures","authors":"H. Raubenheimer, J. van Appel","doi":"10.1007/s11117-023-01015-2","DOIUrl":"https://doi.org/10.1007/s11117-023-01015-2","url":null,"abstract":"Abstract Let A be a Banach algebra and let $$xin A$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>A</mml:mi> </mml:mrow> </mml:math> have the property that its spectrum does not separate 0 from infinity. It is well known that x has a logarithm, i.e., there exists $$yin A$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>y</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>A</mml:mi> </mml:mrow> </mml:math> with $$x=e^y$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mi>e</mml:mi> <mml:mi>y</mml:mi> </mml:msup> </mml:mrow> </mml:math> . We will use this statement to identify measures defined on a locally compact group to have logarithms. Also, we will show that the converse of the above statement is in general not true. Our results will be related to infinitely divisible probability measures.","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"235 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136078262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
On the uniqueness of continuous positive solution for a non-linear integral equation whose singularity lies in the reciprocal of the solution 奇异性在于解的倒数的非线性积分方程连续正解的唯一性
3区 数学
Positivity Pub Date : 2023-10-15 DOI: 10.1007/s11117-023-01016-1
Indranil Sarkar, Gaurav Singh
{"title":"On the uniqueness of continuous positive solution for a non-linear integral equation whose singularity lies in the reciprocal of the solution","authors":"Indranil Sarkar, Gaurav Singh","doi":"10.1007/s11117-023-01016-1","DOIUrl":"https://doi.org/10.1007/s11117-023-01016-1","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136185844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
A new result on boundedness of the Riesz potential in central Morrey–Orlicz spaces 中心Morrey-Orlicz空间中Riesz势有界性的一个新结果
3区 数学
Positivity Pub Date : 2023-10-11 DOI: 10.1007/s11117-023-01013-4
Evgeniya Burtseva, Lech Maligranda
{"title":"A new result on boundedness of the Riesz potential in central Morrey–Orlicz spaces","authors":"Evgeniya Burtseva, Lech Maligranda","doi":"10.1007/s11117-023-01013-4","DOIUrl":"https://doi.org/10.1007/s11117-023-01013-4","url":null,"abstract":"Abstract We improve our results on boundedness of the Riesz potential in the central Morrey–Orlicz spaces and the corresponding weak-type version. We also present two new properties of the central Morrey–Orlicz spaces: nontriviality and inclusion property.","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"246 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
A note on the remainder in the approximation of functions by some positive linear operators 关于用某些正线性算子逼近函数的余数的注记
3区 数学
Positivity Pub Date : 2023-10-06 DOI: 10.1007/s11117-023-01014-3
Marius-Mihai Birou
{"title":"A note on the remainder in the approximation of functions by some positive linear operators","authors":"Marius-Mihai Birou","doi":"10.1007/s11117-023-01014-3","DOIUrl":"https://doi.org/10.1007/s11117-023-01014-3","url":null,"abstract":"Abstract In this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions. We show that in these cases the Peano kernel from the integral representation of the remainder has the same sign on the definition domain. Applications to the iterates of some positive linear operators and quadrature formulas are given.","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135352181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
Almost everywhere convergence of the iterates of a bi-stochastic Markov operator 双随机马尔可夫算子的迭代几乎处处收敛
3区 数学
Positivity Pub Date : 2023-09-30 DOI: 10.1007/s11117-023-01010-7
Yukiko Iwata
{"title":"Almost everywhere convergence of the iterates of a bi-stochastic Markov operator","authors":"Yukiko Iwata","doi":"10.1007/s11117-023-01010-7","DOIUrl":"https://doi.org/10.1007/s11117-023-01010-7","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136336648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
Operator monotone functions on accretive matrices 累加矩阵上的算子单调函数
3区 数学
Positivity Pub Date : 2023-09-29 DOI: 10.1007/s11117-023-01011-6
Amir Ghasem Ghazanfari, Somayeh Malekinejad
{"title":"Operator monotone functions on accretive matrices","authors":"Amir Ghasem Ghazanfari, Somayeh Malekinejad","doi":"10.1007/s11117-023-01011-6","DOIUrl":"https://doi.org/10.1007/s11117-023-01011-6","url":null,"abstract":"","PeriodicalId":54596,"journal":{"name":"Positivity","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135245710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 0
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