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Titlebook: A Short Introduction to Perturbation Theory for Linear Operators; Tosio Kato Textbook 1982 Springer-Verlag New York Inc. 1982 Linearer Ope

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发表于 2025-3-21 19:48:29 | 显示全部楼层 |阅读模式
期刊全称A Short Introduction to Perturbation Theory for Linear Operators
影响因子2023Tosio Kato
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图书封面Titlebook: A Short Introduction to Perturbation Theory for Linear Operators;  Tosio Kato Textbook 1982 Springer-Verlag New York Inc. 1982 Linearer Ope
影响因子This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen­ sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non­ trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter­ ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applie
Pindex Textbook 1982
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发表于 2025-3-21 21:54:19 | 显示全部楼层
发表于 2025-3-22 01:55:59 | 显示全部楼层
C. Berger,J. Böckenförde,A. Müggenalytic rather than algebraic, depending on function-theoretical treatment of the resolvents. It is believed that this is a most natural approach in view of the intended extension of the method to the infinite-dimensional case in later chapters.
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发表于 2025-3-22 10:47:20 | 显示全部楼层
C. Berger,J. Böckenförde,A. Müggethat the reader is more or less familiar with elementary notions of linear algebra. In the beginning sections we collect fundamental results on linear algebra, mostly without proof, for the convenience of later reference. The notions related to normed vector spaces and analysis with vectors and oper
发表于 2025-3-22 15:28:21 | 显示全部楼层
Angewandte Elektrische Meßtechnikvectors (or eigenprojections) change with the operator, in particular when the operator depends on a parameter analytically. This is a special case of a more general and more interesting problem in which the operator acts in an infinite-dimensional space.
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978-1-4612-5702-8Springer-Verlag New York Inc. 1982
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发表于 2025-3-23 07:17:55 | 显示全部楼层
Operator theory in finite-dimensional vector spaces, hat, sondern die gemeinsamen Fundamente. Da ich die Programmatik einer allgemeinen erziehungswissenschaftlichen Biographieforschung mit einem bildungstheoretischen Zuschnitt an verschiedenen Stellen ausgeführt habe (Marotzki 1990, 1991a-c, 1996), erinnere ich hier nur kursorisch daran, dass es sich
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