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An Indefinite Excursion in Operator Theory : Geometric and Spectral Treks in Krein Spaces.
・ISBN 978-1-108-96903-1 paper GB£ 71.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-108-97906-1
| 著者・編者 | Gheondea, Aurelian, |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2022 |
| ページ数 | 510 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15993＞ |
解説
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.