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Titlebook: Spectral Theory of Operators on Hilbert Spaces; Carlos S. Kubrusly Textbook 2012 The Editor(s) (if applicable) and The Author(s), under ex

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书目名称Spectral Theory of Operators on Hilbert Spaces
编辑Carlos S. Kubrusly
视频video
概述Modern approach to operators acting on Hilbert space.Presentation of recent theoretical aspects (including very current research results).Detailed proofs, including discussions and explanations of del
图书封面Titlebook: Spectral Theory of Operators on Hilbert Spaces;  Carlos S. Kubrusly Textbook 2012 The Editor(s) (if applicable) and The Author(s), under ex
描述.This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. .Spectral Theory of Operators on Hilbert Spaces. is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field. ​.
出版日期Textbook 2012
关键词Hilbert space; analytic (Riesz) functional calculus; functional calculus for normal operators; operator
版次1
doihttps://doi.org/10.1007/978-0-8176-8328-3
isbn_ebook978-0-8176-8328-3
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Busines
The information of publication is updating

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tailed proofs, including discussions and explanations of del.This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate cours
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Spectral Theorem,ators. For compact normal operators the Spectral Theorem can be completely investigated without requiring any knowledge of measure theory, and this leads to the concept of diagonalization. However, the Spectral Theorem for plain normal operators (the general case) requires some (elementary) measure theory.
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Fredholm Theory,The central theme of this chapter investigates compact perturbations.We shall be particularly concerned with properties of the spectrum of an operator that are invariant under compact perturbations; that is, properties of the spectrum of . that are also possessed by the spectrum of . + . for every compact operator ..
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