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Titlebook: Unbounded Weighted Composition Operators in L²-Spaces; Piotr Budzyński,Zenon Jabłoński,Jan Stochel Book 2018 Springer International Publis

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发表于 2025-3-21 19:25:35 | 显示全部楼层 |阅读模式
书目名称Unbounded Weighted Composition Operators in L²-Spaces
编辑Piotr Budzyński,Zenon Jabłoński,Jan Stochel
视频video
概述Provides the first systematic study of unbounded weighted composition operators in L² spaces in full generality.Contains the first ever criteria for subnormality of unbounded weighted composition oper
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Unbounded Weighted Composition Operators in L²-Spaces;  Piotr Budzyński,Zenon Jabłoński,Jan Stochel Book 2018 Springer International Publis
描述.This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized..The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types..The book is primarily aimed at researchers in single or multivariable operator theory..
出版日期Book 2018
关键词Weighted Composition Operator; Conditional Expectation; Hyponormal Operator; Subnormal Operator; Quasino
版次1
doihttps://doi.org/10.1007/978-3-319-74039-3
isbn_softcover978-3-319-74038-6
isbn_ebook978-3-319-74039-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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发表于 2025-3-21 23:47:18 | 显示全部楼层
Subnormality: General Criteria,CC.) (see Theorem 34). In Sect. 3.4, we discuss the interplay between the conditions (CC) and (CC.) (see Theorem 40). Section 3.2 shows that the consistency condition (CC) itself is not sufficient for subnormality even in the case of composition operators. By Theorem 34, this means that (CC) does not imply (CC.).
发表于 2025-3-22 01:02:05 | 显示全部楼层
Seminormality,heorem 63). We also show that formally normal (in particular, symmetric) weighted composition operators are automatically normal (see Theorem 66). In Sect. 5.4, we characterize selfadjoint and positive selfadjoint weighted composition operators (see Theorems 72 and 76).
发表于 2025-3-22 05:53:26 | 显示全部楼层
0075-8434 eria for subnormality of unbounded weighted composition oper.This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be
发表于 2025-3-22 12:08:27 | 显示全部楼层
Discrete Measure Spaces, Theorems 89 and 90). The interplay between the theory of moments, the geometry of graphs induced by symbols and the injectivity problem is discussed in Section 6.4 (see Theorem 93 and Problems 96 and 100). Section 6.5 contains a variety of examples illustrating our considerations.
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发表于 2025-3-23 00:12:51 | 显示全部楼层
Subnormality: General Criteria,rion, which is given in Sect. 3.1, requires that .. > 0 a.e. [..] and that there exists a measurable family of Borel probability measures on . satisfying the consistency condition (CC) (see Theorem 29). Section 3.3 provides the second criterion which involves another, stronger than (CC), condition (
发表于 2025-3-23 03:57:42 | 显示全部楼层
发表于 2025-3-23 08:28:47 | 显示全部楼层
Discrete Measure Spaces,crete measure spaces. Section 6.1 has an introductory character. Section 6.2 characterizes the hyponormality, cohyponormality and normality of discrete weighted composition operators (see Theorems 83, 84 and 87). Section 6.3 provides two criteria for the subnormality of discrete weighted composition
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