Название: Spectral Mapping Theorems: A Bluffer's Guide, 2nd Edition
Автор: Robin Harte
Издательство: Springer
Год: 2023
Страниц: 193
Язык: английский
Формат: pdf (true), epub
Размер: 11.1 MB

Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging style of the first.

Starting with a summary of the basic algebraic systems – semigroups, rings and linear algebras – the book quickly turns to topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Key aspects of spectral theory are covered, in one and several variables. Finally the case of an arbitrary set of variables is discussed.

The language of spectral theory may be algebra, but its environment is topological algebra. Topology on the one hand underlies geometry; for us it is more relevant that it also underlies the theory of limits and analysis.

Spectral Mapping Theorems is an accessible and easy-to-read guide, providing a convenient overview of the topic to both students and researchers.

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