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Functional Analysis and Its Applications最新文献

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A Note on Relatively Injective (C_0(S))-Modules (C_0(S)) 关于相对内射(C_0(S)) -模块的说明 (C_0(S))
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040043
N. T. Nemesh
{"title":"A Note on Relatively Injective (C_0(S))-Modules (C_0(S))","authors":"N. T. Nemesh","doi":"10.1134/S0016266321040043","DOIUrl":"10.1134/S0016266321040043","url":null,"abstract":"<p> In this note we discuss some necessary and some sufficient conditions for the relative injectivity of the <span>(C_0(S))</span>-module <span>(C_0(S))</span>, where <span>(S)</span> is a locally compact Hausdorff space. We also give a Banach module version of Sobczyk’s theorem. The main result of the paper is as follows: if the <span>(C_0(S))</span>-module <span>(C_0(S))</span> is relatively injective, then <span>(S=beta(Ssetminus {s}))</span> for any limit point <span>(sin S)</span>. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4982890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on (L^infty) Dunkl变换，Dunkl型BMO空间，和Dunkl变换的Riesz变换 (L^infty)
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040055
Wentao Teng
{"title":"Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on (L^infty)","authors":"Wentao Teng","doi":"10.1134/S0016266321040055","DOIUrl":"10.1134/S0016266321040055","url":null,"abstract":"<p> In this paper we will give some results on the support of Dunkl translations on compactly supported functions. Then we will define the Dunkl-type BMO space and Riesz transforms for the Dunkl transform on <span>(L^infty)</span> and prove the boundedness of the Riesz transforms from <span>(L^infty)</span> to the Dunkl-type BMO space under the assumption of the uniform boundedness of Dunkl translations. The proof and the definition in the Dunkl setting will be harder than in the classical case for the lack of some properties of Dunkl translations similar to those of classical translations. We will also extend Gallardo and Rejeb’s precise description of the support of Dunkl translations on characteristic functions to all nonnegative radial functions in <span>(L^2(m_k))</span>. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4982918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Note on Derivations of Certain non-CSL Algebras 关于某些非csl代数的导数的注记
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040080
Chaoqun Chen, Fangyan Lu
{"title":"Note on Derivations of Certain non-CSL Algebras","authors":"Chaoqun Chen,&nbsp;Fangyan Lu","doi":"10.1134/S0016266321040080","DOIUrl":"10.1134/S0016266321040080","url":null,"abstract":"<p> A subspace lattice <span>({(0), M, N, H})</span> of a Hilbert space <span>(H)</span> is called a <i>generalized generic lattice</i> if <span>(Mcap N =M^perpcap N^perp =(0))</span> and <span>(dim (M^perp cap N)=dim (Mcap N^perp))</span>. In this note, we show that each derivation of a generalized generic lattice algebra into itself is inner. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4688993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Single-Valued Extension Property and Property ((omega)) 单值扩展属性和属性 ((omega))
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040067
Lili Yang, Xiaohong Cao
{"title":"Single-Valued Extension Property and Property ((omega))","authors":"Lili Yang,&nbsp;Xiaohong Cao","doi":"10.1134/S0016266321040067","DOIUrl":"10.1134/S0016266321040067","url":null,"abstract":"<p> We study the stability of the single-valued extension property for operators on a Hilbert space. Further, relations between the stability of the single-valued extension property and of property <span>((omega))</span> are given. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4692640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture 零环上的无穷小中心问题与复合猜想
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040018
A. Álvarez, J. L. Bravo, C. Christopher, P. Mardešić
{"title":"Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture","authors":"A. Álvarez,&nbsp;J. L. Bravo,&nbsp;C. Christopher,&nbsp;P. Mardešić","doi":"10.1134/S0016266321040018","DOIUrl":"10.1134/S0016266321040018","url":null,"abstract":"<p> We study the analog of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is identically zero if and only if the deformation has a composition factor. That is, we prove that here the composition conjecture is true, in contrast with the tangential center problem on zero cycles. Finally, we give examples of applications of our results. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4692588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
The Bi-Hamiltonian Structures of the DR and DZ Hierarchies in the Approximation up to Genus One 逼近到1属的DR和DZ层次的双哈密顿结构
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S001626632104002X
O. Brauer, A. Yu. Buryak
{"title":"The Bi-Hamiltonian Structures of the DR and DZ Hierarchies in the Approximation up to Genus One","authors":"O. Brauer,&nbsp;A. Yu. Buryak","doi":"10.1134/S001626632104002X","DOIUrl":"10.1134/S001626632104002X","url":null,"abstract":"<p> In a recent paper, given an arbitrary homogeneous cohomological field theory ( CohFT), Rossi, Shadrin, and the first author proposed a simple formula for a bracket on the space of local functionals, which conjecturally gives a second Hamiltonian structure for the double ramification hierarchy associated to the CohFT. In this paper we prove this conjecture in the approximation up to genus <span>(1)</span> for any semisimple CohFT and relate this bracket to the second Poisson bracket of the Dubrovin–Zhang hierarchy by an explicit Miura transformation. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4689993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Resonances for the Dirac Operator on the Half-Line 半线上狄拉克算子的共振
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI: 10.1134/S0016266321040079
E. L. Korotyaev, D. S. Mokeev
{"title":"Resonances for the Dirac Operator on the Half-Line","authors":"E. L. Korotyaev,&nbsp;D. S. Mokeev","doi":"10.1134/S0016266321040079","DOIUrl":"10.1134/S0016266321040079","url":null,"abstract":"<p> We consider the inverse problem for a massless Dirac operator on the half-line such that the support of its potential has fixed upper boundary and solve it in terms of a Jost function and a scattering matrix. We prove that the potential of such an operator is uniquely determined by its resonances. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4693779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Rational Hypergeometric Identities 有理超几何恒等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI: 10.1134/S0016266321030096
G. A. Sarkissian, V. P. Spiridonov
{"title":"Rational Hypergeometric Identities","authors":"G. A. Sarkissian,&nbsp;V. P. Spiridonov","doi":"10.1134/S0016266321030096","DOIUrl":"10.1134/S0016266321030096","url":null,"abstract":"<p> A special singular limit <span>(omega_1/omega_2 to 1)</span> is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings a new class of hypergeometric identities associated with bilateral sums of Mellin–Barnes type integrals of particular Pochhammer symbol products. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4779518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 5
Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in (mathbb{R}^{3}) 中的无界曲面上支持奇异势的Dirac算子 (mathbb{R}^{3})
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI: 10.1134/S0016266321030084
V. S. Rabinovich
{"title":"Dirac Operators with Singular Potentials Supported on Unbounded Surfaces in (mathbb{R}^{3})","authors":"V. S. Rabinovich","doi":"10.1134/S0016266321030084","DOIUrl":"10.1134/S0016266321030084","url":null,"abstract":"<p> We consider the self-adjointness and essential spectrum of 3D Dirac operators with bounded variable magnetic and electrostatic potentials and with singular delta-type potentials with supports on uniformly regular unbounded surfaces <span>(Sigma)</span> in <span>(mathbb{R}^{3})</span>. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4965894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval 区间参数相关映射拓扑熵的连续性集
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI: 10.1134/S0016266321030035
A. N. Vetokhin
{"title":"On the Set of Continuity of the Topological Entropy of Parameter-Dependent Mappings of the Interval","authors":"A. N. Vetokhin","doi":"10.1134/S0016266321030035","DOIUrl":"10.1134/S0016266321030035","url":null,"abstract":"<p> Families of continuous mappings of the interval continuously depending on a parameter are considered. Any <span>(G_delta)</span> set dense in the parameter space is realized as the set of continuity of topological entropy for a suitable family of continuous mappings. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4966369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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