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When universal separated graph $C^*$-algebras are exact 当泛分离图$C^*$-代数是精确的
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-06-28 DOI: 10.31392/mfat-npu26_2.2020.05
B. Duncan
{"title":"When universal separated graph $C^*$-algebras are exact","authors":"B. Duncan","doi":"10.31392/mfat-npu26_2.2020.05","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2020.05","url":null,"abstract":"We consider when the universal C∗-algebras associated to separated graphs are exact. Specifically, for finite separated graphs we show that the universal C∗-algebra is exact if and only if the C∗-algebra is isomorphic to a graph C∗-algebra which occurs precisely when the universal and reduced C∗-algebras of the separated graph are isomorphic.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"126-140"},"PeriodicalIF":0.4,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45706760","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
Multi-interval Sturm-Liouville problems with distributional coefficients 具有分布系数的多区间Sturm-Liouville问题
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-06-28 DOI: 10.31392/mfat-npu26_2.2020.02
A. Goriunov
{"title":"Multi-interval Sturm-Liouville problems with distributional coefficients","authors":"A. Goriunov","doi":"10.31392/mfat-npu26_2.2020.02","DOIUrl":"https://doi.org/10.31392/mfat-npu26_2.2020.02","url":null,"abstract":"The paper investigates spectral properties of multi-interval SturmLiouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions and also all generalized resolvents in terms of boundary conditions are given.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"103-110"},"PeriodicalIF":0.4,"publicationDate":"2020-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48843742","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
Representations of the Infinite-Dimensional Affine Group 无限维仿射群的表示
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-06-21 DOI: 10.31392/MFAT-NPU26_4.2020.06
Y. Kondratiev
{"title":"Representations of the Infinite-Dimensional Affine Group","authors":"Y. Kondratiev","doi":"10.31392/MFAT-NPU26_4.2020.06","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.06","url":null,"abstract":"We introduce an infinite-dimensional affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46886179","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
Green measures for Markov processes 马尔可夫过程的绿色度量
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-06-12 DOI: 10.31392/mfat-npu26_3.2020.05
Kondratiev, G. Yuri, Da Silva, L. Jos'e
{"title":"Green measures for Markov processes","authors":"Kondratiev, G. Yuri, Da Silva, L. Jos'e","doi":"10.31392/mfat-npu26_3.2020.05","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2020.05","url":null,"abstract":"In this paper we study Green measures of certain classes of Markov processes. In particular Brownian motion and processes with jump generators with different tails. The Green measures are represented as a sum of a singular and a regular part given in terms of the jump generator. The main technical question is to find a bound for the regular part.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43932706","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
Entropy functionals and their extremal values for solving the Stieltjes matrix moment problem 求解Stieltjes矩阵矩问题的熵函数及其极值
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-03-28 DOI: 10.31392/mfat-npu26_1.2020.02
Yuriy M. Dyukarev
{"title":"Entropy functionals and their extremal values for solving the Stieltjes matrix moment problem","authors":"Yuriy M. Dyukarev","doi":"10.31392/mfat-npu26_1.2020.02","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2020.02","url":null,"abstract":"Entropy functionals and their extremal values have been studied by many authors (see, for example, [1], [2], [3], [5]). But similar functionals were not considered for solution interpolation problems in the matrix Stieltjes class. In this paper, entropy functionals over solutions of the Stieltjes matrix moment problem are defined and studied for the first time. Given integers m,n ≥ 1, we let C denote the linear space of columns of complex numbers x = col (","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"27-38"},"PeriodicalIF":0.4,"publicationDate":"2020-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43156310","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
Upper semi-Fredholm and Kato spectrum of an $alpha$-times integrated semigroup $alpha$次积分半群的上半Fredholm和Kato谱
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2020-03-28 DOI: 10.31392/mfat-npu26_1.2020.04
H. Boua
{"title":"Upper semi-Fredholm and Kato spectrum of an $alpha$-times integrated \u0000semigroup","authors":"H. Boua","doi":"10.31392/mfat-npu26_1.2020.04","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2020.04","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"26 1","pages":"63-67"},"PeriodicalIF":0.4,"publicationDate":"2020-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46996120","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
Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus 2环面上Morse函数的Kronrod-Reeb图的自同构
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2019-12-02 DOI: 10.31392/mfat-npu26_1.2020.07
A. Kravchenko, Bohdan Feshchenko
{"title":"Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus","authors":"A. Kravchenko, Bohdan Feshchenko","doi":"10.31392/mfat-npu26_1.2020.07","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2020.07","url":null,"abstract":"This paper is devoted to the study of special subgroups of the automorphism groups of Kronrod-Reeb graphs of a Morse functions on $2$-torus $T^2$ which arise from the action of diffeomorphisms preserving a given Morse function on $T^2$. In this paper we give a full description of such classes of groups.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41361289","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: 3
Eigenvalues of Schrödinger operators near thresholds: two term approximation 阈值附近Schrödinger算子的特征值:两项近似
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2019-09-01 DOI: 10.31392/MFAT-npu26_1.2020.06
Yuriy Golovaty
{"title":"Eigenvalues of Schrödinger operators near thresholds: two term approximation","authors":"Yuriy Golovaty","doi":"10.31392/MFAT-npu26_1.2020.06","DOIUrl":"https://doi.org/10.31392/MFAT-npu26_1.2020.06","url":null,"abstract":"We consider one dimensional Schrodinger operators $H_lambda=-frac{d^2}{dx^2}+U+ lambda V_lambda$ with a nonlinear dependence on parameter $lambda$ and study the small $lambda$ behaviour of eigenvalues. Potentials $U$ and $V_lambda$ are real-valued bounded functions of compact support. Under some assumptions on $U$ and $V_lambda$, we prove the existence of a negative eigenvalue that is absorbed at the bottom of the continuous spectrum as $lambdato 0$. We also construct two-term asymptotic formulas for the threshold eigenvalues.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42462366","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
On the ascent-descent spectrum 关于上升-下降谱
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2018-08-24 DOI: 10.31392/mfat-npu26_3.2021.02
N. Athmouni, Mondher Damak, C. Jendoubi
{"title":"On the ascent-descent spectrum","authors":"N. Athmouni, Mondher Damak, C. Jendoubi","doi":"10.31392/mfat-npu26_3.2021.02","DOIUrl":"https://doi.org/10.31392/mfat-npu26_3.2021.02","url":null,"abstract":"We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for such spectra.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44128537","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
On the existence of a global diffeomorphism between Fréchet spaces 关于Fréchet空间之间的全局微分同胚的存在性
IF 0.4
Methods of Functional Analysis and Topology Pub Date : 2018-04-23 DOI: 10.31392/MFAT-npu26_1.2020.05
K. Eftekharinasab
{"title":"On the existence of a global diffeomorphism between Fréchet spaces","authors":"K. Eftekharinasab","doi":"10.31392/MFAT-npu26_1.2020.05","DOIUrl":"https://doi.org/10.31392/MFAT-npu26_1.2020.05","url":null,"abstract":"We provide sufficient conditions for the existence of a global diffeomorphism between tame Fr'echet spaces. We prove a version of Mountain Pass theorem which plays a key ingredient in the proof of the main theorem.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46148559","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: 3
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