An indefinite excursion in operator theory : geometric and spectral treks in Kreĭn spaces / Aurelian Gheondea.

Format:

Book

Author/Creator:

Gheondea, Aurelian, author.

Series:

London Mathematical Society lecture note series ; 476.

London Mathematical Society lecture note series; 476

Language:

English

Subjects (All):

Operator theory.

Indefinite inner product spaces.

Kreĭn spaces.

Physical Description:

1 online resource (xv, 494 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2022.

System Details:

Mode of Access: World Wide Web.

Summary:

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.

Notes:

Title from publisher's bibliographic system (viewed on 08 Jul 2022).

Other Format:

Print version:

ISBN:

9781108979061 (ebook)

Access Restriction:

Restricted for use by site license.