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An Indefinite Excursion in Operator Theory

An Indefinite Excursion in Operator Theory

Paperback

Series: London Mathematical Society Lecture Note, Book 476

AlgebraGeneral Mathematics

ISBN10: 1108969038
ISBN13: 9781108969031
Publisher: Cambridge University Press
Published: Jul 28 2022
Pages: 510
Weight: 1.65
Height: 1.18 Width: 5.91 Depth: 8.90
Language: English
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

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Algebra