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Titlebook: Eigenvalue Distribution of Compact Operators; Hermann König Book 1986 Springer Basel AG 1986 distribution.Eigenvalue.operator

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发表于 2025-3-21 19:51:35 | 显示全部楼层 |阅读模式
书目名称Eigenvalue Distribution of Compact Operators
编辑Hermann König
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Eigenvalue Distribution of Compact Operators;  Hermann König Book 1986 Springer Basel AG 1986 distribution.Eigenvalue.operator
出版日期Book 1986
关键词distribution; Eigenvalue; operator
版次1
doihttps://doi.org/10.1007/978-3-0348-6278-3
isbn_softcover978-3-0348-6280-6
isbn_ebook978-3-0348-6278-3Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 1986
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发表于 2025-3-21 20:46:07 | 显示全部楼层
Eigenvalues of Operators on Banach Spaces,ators have p-th power summable eigenvalues. It is thus natural to ask: What is the optimal order of summability of the eigenvalues of the above classes of operators on Banach spaces? This is the main topic of this chapter: we extend Weyl’s inequality to the above operator ideals on Banach spaces.
发表于 2025-3-22 02:41:05 | 显示全部楼层
A. S. Markov,V. A. Romanov,N. B. Shaykhonmmability conditions. Further results in this direction were achieved and presented by Gohberg-Krein [23]. Lately much more precise estimates were obtained by Birman-Solomjak who in their survey [7] also treat the case of weighted kernel operators on unbounded domains.
发表于 2025-3-22 08:35:11 | 显示全部楼层
,Dizionario d’ingegneria naturalistica,an A denotes the closed linear hull of A in X. The topological dual of X is denoted X*(= L(X, K)) and the duality pairing written or x*(x) where x ∈ X, x* ∈ X*. The dual of an operator T is denoted by T*.
发表于 2025-3-22 10:26:12 | 显示全部楼层
Dictionary of Statuses within EU Lawto prove general (upper) estimates for the eigenvalues of the operators belonging to such ideals. These abstract results are applied to integral operators to derive some non-classical results. The Banach space setting is essential: several applications, e.g. to Hille-Tamarkin kernels, have not been proved by the classical Hilbert space methods.
发表于 2025-3-22 15:11:37 | 显示全部楼层
Introduction,mmability conditions. Further results in this direction were achieved and presented by Gohberg-Krein [23]. Lately much more precise estimates were obtained by Birman-Solomjak who in their survey [7] also treat the case of weighted kernel operators on unbounded domains.
发表于 2025-3-22 20:18:14 | 显示全部楼层
Notations and Conventions,an A denotes the closed linear hull of A in X. The topological dual of X is denoted X*(= L(X, K)) and the duality pairing written or x*(x) where x ∈ X, x* ∈ X*. The dual of an operator T is denoted by T*.
发表于 2025-3-22 22:12:30 | 显示全部楼层
Banach Spaces and Operators,to prove general (upper) estimates for the eigenvalues of the operators belonging to such ideals. These abstract results are applied to integral operators to derive some non-classical results. The Banach space setting is essential: several applications, e.g. to Hille-Tamarkin kernels, have not been proved by the classical Hilbert space methods.
发表于 2025-3-23 04:36:36 | 显示全部楼层
https://doi.org/10.1007/978-3-662-32571-1We apply the results on the eigenvalues of abstract operators on Banach spaces to determine the asymptotic distribution of the eigenvalues of integral operators T in function spaces Z.
发表于 2025-3-23 08:58:07 | 显示全部楼层
Abbreviated New Drug ApplicationIn this chapter we consider some applications of the results about eigenvalues of Riesz operators (of chapter 2) to problems in the theory of Banach spaces. The question of the existence of a “trace” of an infinite-dimensional Riesz operator T ∈ L(X) is one of them.
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