发布求助
文献互助 智能选刊 最新文献

arXiv: Functional Analysis最新文献

筛选
英文 中文
The minimizers of the p-frame potential p坐标系势的最小值
arXiv: Functional Analysis Pub Date : 2019-07-25 DOI: 10.1016/J.ACHA.2020.04.003
Zhiqiang Xu, Zili Xu
{"title":"The minimizers of the p-frame potential","authors":"Zhiqiang Xu, Zili Xu","doi":"10.1016/J.ACHA.2020.04.003","DOIUrl":"https://doi.org/10.1016/J.ACHA.2020.04.003","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"70 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84809986","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: 6
Approximation by group invariant subspaces 群不变子空间逼近
arXiv: Functional Analysis Pub Date : 2019-07-18 DOI: 10.1016/j.matpur.2020.08.010
D. Barbieri, C. Cabrelli, E. Hern'andez, U. Molter
{"title":"Approximation by group invariant subspaces","authors":"D. Barbieri, C. Cabrelli, E. Hern'andez, U. Molter","doi":"10.1016/j.matpur.2020.08.010","DOIUrl":"https://doi.org/10.1016/j.matpur.2020.08.010","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75591318","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: 6
On Gabor g-frames and Fourier series of operators 关于Gabor g坐标系和算子的傅里叶级数
arXiv: Functional Analysis Pub Date : 2019-06-23 DOI: 10.4064/SM191115-24-9
Eirik Skrettingland
{"title":"On Gabor g-frames and Fourier series of operators","authors":"Eirik Skrettingland","doi":"10.4064/SM191115-24-9","DOIUrl":"https://doi.org/10.4064/SM191115-24-9","url":null,"abstract":"We show that Hilbert-Schmidt operators can be used to define frame-like structures for $L^2(mathbb{R})$ over lattices in $mathbb{R}^{2d}$ that include multi-window Gabor frames as a special case. These structures, called Gabor g-frames, are shown to share many properties of Gabor frames, including a Janssen representation and Wexler-Raz biorthogonality conditions. A central part of our analysis is a notion of Fourier series of periodic operators based on earlier work by Feichtinger and Kozek, where we show in particular a Poisson summation formula for trace class operators. By choosing operators from certain Banach subspaces of the Hilbert Schmidt operators, Gabor g-frames give equivalent norms for modulation spaces in terms of weighted $ell^p$-norms of an associated sequence, as previously shown for localization operators by D\"orfler, Feichtinger and Gr\"ochenig.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91312896","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: 6
Cauchy-Riemann Equations for Free Noncommutative Functions 自由非交换函数的Cauchy-Riemann方程
arXiv: Functional Analysis Pub Date : 2019-06-21 DOI: 10.1007/978-3-030-43380-2_15
S. Horst, E. M. Klem
{"title":"Cauchy-Riemann Equations for Free Noncommutative Functions","authors":"S. Horst, E. M. Klem","doi":"10.1007/978-3-030-43380-2_15","DOIUrl":"https://doi.org/10.1007/978-3-030-43380-2_15","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87858229","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
Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations 巴拿赫代数上圆锥度量空间上的压缩序列及其在非线性方程组和微分方程组中的应用
arXiv: Functional Analysis Pub Date : 2019-06-14 DOI: 10.22075/IJNAA.2019.18884.2040
C. Alecsa
{"title":"Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations","authors":"C. Alecsa","doi":"10.22075/IJNAA.2019.18884.2040","DOIUrl":"https://doi.org/10.22075/IJNAA.2019.18884.2040","url":null,"abstract":"It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see [3] and [10]). In this framework, the novelty of the present paper represents the development of some fixed point results regarding sequences of contractions in the setting of cone metric spaces over Banach algebras. Furthermore, some examples are given in order to strengthen our new concepts. Also, based on the powerful notion of a cone metric space over a Banach algebra, we present important applications to systems of differential equations and coupled functional equations, respectively, that are linked to the concept of sequences of contractions.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"72 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84519996","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
Coefficient estimates for $H^p$ spaces with $0 $H^p$空间的系数估计
arXiv: Functional Analysis Pub Date : 2019-05-23 DOI: 10.1090/PROC/14995
Ole Fredrik Brevig, E. Saksman
{"title":"Coefficient estimates for $H^p$ spaces with $0","authors":"Ole Fredrik Brevig, E. Saksman","doi":"10.1090/PROC/14995","DOIUrl":"https://doi.org/10.1090/PROC/14995","url":null,"abstract":"Let $C(k,p)$ denote the smallest real number such that the estimate $|a_k|leq C(k,p)|f|_{H^p}$ holds for every $f(z)=sum_{ngeq0}a_n z^n$ in the $H^p$ space of the unit disc. We compute $C(2,p)$ for $0<p<1$ and $C(3,2/3)$, and identify the functions attaining equality in the estimate.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"203 1","pages":"3911-3924"},"PeriodicalIF":0.0,"publicationDate":"2019-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75700848","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
Frame measures for infinitely many measures 对无穷多个测度进行框架测度
arXiv: Functional Analysis Pub Date : 2019-05-18 DOI: 10.1285/I15900932V40N1P115
F. Farhadi, M. Asgari, M. Mardanbeigi
{"title":"Frame measures for infinitely many measures","authors":"F. Farhadi, M. Asgari, M. Mardanbeigi","doi":"10.1285/I15900932V40N1P115","DOIUrl":"https://doi.org/10.1285/I15900932V40N1P115","url":null,"abstract":"For every frame spectral measure $ mu $, there exists a discrete measure $ nu $ as a frame measure. Since if $ mu $ is not a frame spectral measure, then there is not any general statement about the existence of frame measures $ nu $ for $ mu $, we were motivated to examine Bessel and frame measures. We construct infinitely many measures $ mu $ which admit frame measures $ nu $, and we show that there exist infinitely many frame spectral measures $ mu $ such that besides having a discrete frame measure, they admit continuous frame measures too.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84874711","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
Quantum Strassen’s theorem 量子斯特拉森定理
arXiv: Functional Analysis Pub Date : 2019-05-14 DOI: 10.1142/s0219025720500204
S. Friedland, Jingtong Ge, L. Zhi
{"title":"Quantum Strassen’s theorem","authors":"S. Friedland, Jingtong Ge, L. Zhi","doi":"10.1142/s0219025720500204","DOIUrl":"https://doi.org/10.1142/s0219025720500204","url":null,"abstract":"Strassen's theorem circa 1965 gives necessary and sufficient conditions on the existence of a probability measure on two product spaces with given support and two marginals. In the case where each product space is finite Strassen's theorem is reduced to a linear programming problem which can be solved using flow theory. A density matrix of bipartite quantum system is a quantum analog of a probability matrix on two finite product spaces. Partial traces of the density matrix are analogs of marginals. The support of the density matrix is its range. The analog of Strassen's theorem in this case can be stated and solved using semidefinite programming. The aim of this paper is to give analogs of Strassen's theorem to density trace class operators on a product of two separable Hilbert spaces, where at least one of the Hilbert spaces is infinite dimensional.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74429105","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: 6
On the rate of convergence of iterated Bregman projections and of the alternating algorithm 迭代Bregman投影和交替算法的收敛速度
arXiv: Functional Analysis Pub Date : 2019-05-02 DOI: 10.1016/j.jmaa.2019.123482
C. Bargetz, Emir Medjic
{"title":"On the rate of convergence of iterated Bregman projections and of the alternating algorithm","authors":"C. Bargetz, Emir Medjic","doi":"10.1016/j.jmaa.2019.123482","DOIUrl":"https://doi.org/10.1016/j.jmaa.2019.123482","url":null,"abstract":"","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"72 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86338095","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
Subadditive inequalities for operators 算子的次加性不等式
arXiv: Functional Analysis Pub Date : 2019-04-26 DOI: 10.7153/mia-2020-23-24
H. Moradi, Z. Heydarbeygi, M. Sababheh
{"title":"Subadditive inequalities for operators","authors":"H. Moradi, Z. Heydarbeygi, M. Sababheh","doi":"10.7153/mia-2020-23-24","DOIUrl":"https://doi.org/10.7153/mia-2020-23-24","url":null,"abstract":"In this article, we present a new subadditivity behavior of convex and concave functions, when applied to Hilbert space operators. For example, under suitable assumptions on the spectrum of the positive operators $A$ and $B$, we prove that [{{2}^{1-r}}{{left( A+B right)}^{r}}le {{A}^{r}}+{{B}^{r}}quadtext{ for }r>1text{ and }r<0,] and [{{A}^{r}}+{{B}^{r}}le {{2}^{1-r}}{{left( A+B right)}^{r}}quadtext{ for }rin left[ 0,1 right].] These results provide considerable generalization of earlier results by Aujla and Silva. \u0000Further, we present several extensions of the subadditivity idea initiated by Ando and Zhan, then extended by Bourin and Uchiyama.","PeriodicalId":8426,"journal":{"name":"arXiv: Functional Analysis","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74191042","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
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信