An Indefinite Excursion in Operator Theory
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An Indefinite Excursion in Operator Theory

Geometric and Spectral Treks in Kreĭn Spaces

Aurelian Gheondea

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eBook - PDF

An Indefinite Excursion in Operator Theory

Geometric and Spectral Treks in Kreĭn Spaces

Aurelian Gheondea

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About This Book

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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Information

Year
2022
ISBN
9781108981279

Table of contents