Wigner Type Theorems For Hilbert Grassmannians
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Wigner-Type Theorems for Hilbert Grassmannians
Author: Mark Pankov
language: en
Publisher: Cambridge University Press
Release Date: 2020-01-16
An accessible introduction to the geometric approach to Wigner's theorem and its role in quantum mechanics.
Modern Trends in Algebra and Representation Theory
Author: David Jordan
language: en
Publisher: Cambridge University Press
Release Date: 2023-08-17
Aimed at graduate students and non-experts, this text gives a guided tour of modern developments in algebra and representation theory.
An Indefinite Excursion in Operator Theory
Author: Aurelian Gheondea
language: en
Publisher: Cambridge University Press
Release Date: 2022-07-28
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.