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Titlebook: Operator Theory, Functional Analysis and Applications; M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Conference proceedings 2021 Sprin

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发表于 2025-3-21 16:50:00 | 显示全部楼层 |阅读模式
书目名称Operator Theory, Functional Analysis and Applications
编辑M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
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丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Operator Theory, Functional Analysis and Applications;  M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Conference proceedings 2021 Sprin
描述.This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019.  The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields..
出版日期Conference proceedings 2021
关键词iwota; C*-algebras; Banach *-algebras; Sturm-Liouville theory; integrable systems; dilation theory; frame
版次1
doihttps://doi.org/10.1007/978-3-030-51945-2
isbn_softcover978-3-030-51947-6
isbn_ebook978-3-030-51945-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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Groups of Orthogonal Matrices All Orbits of Which Generate Lattices,se groups are irreducible: the two trivial groups in one dimension, the cyclic groups of orders 3, 4, 6 in two dimensions, and the quaternion, binary dihedral, binary tetrahedral groups in four dimensions.
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,-Inner Functions and ,-Contractions, extend a uniqueness theorem of Arveson for minimal .-dilations to our setting. We thus generalize results of Olofsson for .-hypercontractions on the unit disc and of the first named author for .-hypercontractions on the unit ball.
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A Note on Group Representations, Determinantal Hypersurfaces and Their Quantizations,his short note solves three problems about extending this result in the negative. On the affirmative side, it is shown that a quantization of a determinantal hypersurface, the so-called free locus, correlates well with representation theory. If . generate a finite group ., then the family of hypersurfaces . for . determines . up to isomorphism.
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Extended Heinz and Jensen Type Inequalities and Rearrangements,cal order rearrangement of a given set ., .. > 0, . = 1, 2, …, .. These lead to extended Heinz type inequalities of . for different intervals of .. The results may also be considered as special cases of Jensen type inequalities for concave, convex, subquadratic and superquadratic functions, which are also discussed in this paper.
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The Inverse Characteristic Polynomial Problem for Trees,an ten vertices. It also includes the known case of polynomials with distinct real roots for any tree (in a new way). This work is motivated by, and lies in contrast to, the considerable study of possible multiplicity lists for the eigenvalues of real symmetric matrices, whose graph is a tree.
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