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Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval 无穷区间上具有积分边界条件的分数阶微分系统正解的单调迭代格式
arXiv: Functional Analysis Pub Date : 2020-05-18 DOI: 10.2298/FIL2013399L
Yaohong Li, W. Cheng, Jiafa Xu
{"title":"Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval","authors":"Yaohong Li, W. Cheng, Jiafa Xu","doi":"10.2298/FIL2013399L","DOIUrl":"https://doi.org/10.2298/FIL2013399L","url":null,"abstract":"In this paper, using the monotone iterative technique and the Banach contraction mapping principle, we study a class of fractional differential system with integral boundary on an infinite interval. Some explicit monotone iterative schemes for approximating the extreme positive solutions and the unique positive solution are constructed.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76328286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Jackson theorem and modulus of continuity in Hilbert spaces and on homogeneous manifolds Jackson定理与Hilbert空间和齐次流形上的连续性模
arXiv: Functional Analysis Pub Date : 2020-05-17 DOI: 10.1007/s10476-022-0176-0.pdf
I. Pesenson
{"title":"Jackson theorem and modulus of continuity in Hilbert spaces and on homogeneous manifolds","authors":"I. Pesenson","doi":"10.1007/s10476-022-0176-0.pdf","DOIUrl":"https://doi.org/10.1007/s10476-022-0176-0.pdf","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90677084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Birkhoff–James Orthogonality and Applications: A Survey Birkhoff-James正交性及其应用综述
arXiv: Functional Analysis Pub Date : 2020-05-15 DOI: 10.1007/978-3-030-51945-2_15
Priyanka Grover, Sushil Singla
{"title":"Birkhoff–James Orthogonality and Applications: A Survey","authors":"Priyanka Grover, Sushil Singla","doi":"10.1007/978-3-030-51945-2_15","DOIUrl":"https://doi.org/10.1007/978-3-030-51945-2_15","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80743484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Hausdorff measure of critical set for Luzin N condition Luzin N条件下临界集的Hausdorff测度
arXiv: Functional Analysis Pub Date : 2020-05-13 DOI: 10.1016/j.jmaa.2020.124528
Anna Doležalová, Marika Hrubešová, T. Roskovec
{"title":"Hausdorff measure of critical set for Luzin N condition","authors":"Anna Doležalová, Marika Hrubešová, T. Roskovec","doi":"10.1016/j.jmaa.2020.124528","DOIUrl":"https://doi.org/10.1016/j.jmaa.2020.124528","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73723299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some bounds for the $mathbb{A}$-numerical radius of certain $2 times 2$ operator matrices 某些$2 乘以2$算子矩阵的$mathbb{A}$数值半径的一些界
arXiv: Functional Analysis Pub Date : 2020-05-12 DOI: 10.15672/HUJMS.730574
Kais Feki
{"title":"Some bounds for the $mathbb{A}$-numerical radius of certain $2 times 2$ operator matrices","authors":"Kais Feki","doi":"10.15672/HUJMS.730574","DOIUrl":"https://doi.org/10.15672/HUJMS.730574","url":null,"abstract":"For a given bounded positive (semidefinite) linear operator $A$ on a complex Hilbert space $big(mathcal{H}, langle cdotmid cdotrangle big)$, we consider the semi-Hilbertian space $big(mathcal{H}, langle cdotmid cdotrangle_A big)$ where ${langle xmid yrangle}_A := langle Axmid yrangle$ for every $x, yinmathcal{H}$. The $A$-numerical radius of an $A$-bounded operator $T$ on $mathcal{H}$ is given by begin{align*} omega_A(T) = supBig{big|{langle Txmid xrangle}_Abig|,; ,,xin mathcal{H}, ,{langle xmid xrangle}_A= 1Big}. end{align*} Our aim in this paper is to derive several $mathbb{A}$-numerical radius inequalities for $2times 2$ operator matrices whose entries are $A$-bounded operators, where $mathbb{A}=text{diag}(A,A)$.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73944233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
A class of Integral Operators from Lebesgue spaces into Harmonic Bergman-Besov or Weighted Bloch Spaces 一类从Lebesgue空间到调和Bergman-Besov或加权Bloch空间的积分算子
arXiv: Functional Analysis Pub Date : 2020-05-10 DOI: 10.15672/HUJMS.768123
Ö. Doğan
{"title":"A class of Integral Operators from Lebesgue spaces into Harmonic Bergman-Besov or Weighted Bloch Spaces","authors":"Ö. Doğan","doi":"10.15672/HUJMS.768123","DOIUrl":"https://doi.org/10.15672/HUJMS.768123","url":null,"abstract":"We consider a class of two-parameter weighted integral operators induced by harmonic Bergman-Besov kernels on the unit ball of $mathbb{R}^{n}$ and characterize precisely those that are bounded from Lebesgue spaces $L^{p}_{alpha}$ into Harmonic Bergman-Besov $b^{q}_{beta}$ or weighted Bloch Spaces $b^{infty}_{beta} $, for $1leq pleqinfty$, $1leq q -1$ when $q<infty$ and $betageq 0$ when $q=infty$ of Dogan (A Class of Integral Operators Induced by Harmonic Bergman-Besov kernels on Lebesgue Classes, preprint, 2020) by mapping the operators into these spaces instead of the Lebesgue classes.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89932161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space 加权欧几里得空间的无穷小希尔伯性的一个简短证明
arXiv: Functional Analysis Pub Date : 2020-05-06 DOI: 10.5802/crmath.88
Simone Di Marino, Danka Luvci'c, Enrico Pasqualetto
{"title":"A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space","authors":"Simone Di Marino, Danka Luvci'c, Enrico Pasqualetto","doi":"10.5802/crmath.88","DOIUrl":"https://doi.org/10.5802/crmath.88","url":null,"abstract":"We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert. Our new approach relies upon the properties of the Alberti-Marchese decomposability bundle. As a consequence of our arguments, we also prove that if the Sobolev norm is closable on compactly-supported smooth functions, then the reference measure is absolutely continuous with respect to the Lebesgue measure.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78940451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Invariant subspaces for positive operators on Banach spaces with unconditional basis 带无条件基的Banach空间上正算子的不变子空间
arXiv: Functional Analysis Pub Date : 2020-05-03 DOI: 10.1090/proc/16026
Eva A. Gallardo-Guti'errez, Javier Gonz'alez-Dona, P. Tradacete
{"title":"Invariant subspaces for positive operators on Banach spaces with unconditional basis","authors":"Eva A. Gallardo-Guti'errez, Javier Gonz'alez-Dona, P. Tradacete","doi":"10.1090/proc/16026","DOIUrl":"https://doi.org/10.1090/proc/16026","url":null,"abstract":"We prove that every lattice homomorphism acting on a Banach space $mathcal{X}$ with the lattice structure given by an unconditional basis has a non-trivial closed invariant subspace. In fact, it has a non-trivial closed invariant ideal, which is no longer true for every positive operator on such a space. Motivated by these later examples, we characterize tridiagonal positive operators without non-trivial closed invariant ideals on $mathcal{X}$ extending to this context a result of Grivaux on the existence of non-trivial closed invariant subspaces for tridiagonal operators.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91403020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spaces 𝐶(𝐾) with an equivalent URED norm 用等价的URED范数空格(𝐾)
arXiv: Functional Analysis Pub Date : 2020-04-30 DOI: 10.1090/proc/15315
A. Avil'es, S. Troyanski
{"title":"Spaces 𝐶(𝐾) with an equivalent URED norm","authors":"A. Avil'es, S. Troyanski","doi":"10.1090/proc/15315","DOIUrl":"https://doi.org/10.1090/proc/15315","url":null,"abstract":"We prove that a Banach space of continuous functions $C(K)$ has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space $K$ supports a strictly positive measure","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90146090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Lipschitz free spaces over locally compact metric spaces 局部紧化度量空间上的Lipschitz自由空间
arXiv: Functional Analysis Pub Date : 2020-04-24 DOI: 10.4064/SM200511-10-10
C. Gartland
{"title":"Lipschitz free spaces over locally compact metric spaces","authors":"C. Gartland","doi":"10.4064/SM200511-10-10","DOIUrl":"https://doi.org/10.4064/SM200511-10-10","url":null,"abstract":"We prove that the Lipschitz free space over a certain type of discrete metric space has the Radon-Nikodým property. We also show that the Lipschitz free space over a complete, locally compact metric space has the Schur or approximation property whenever the Lipschitz free space over each compact subset also has this property.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85910807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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