Spectral Theory of Linear Operators

Vladimir Müller

ISBN 10: 3764382643 / ISBN 13: 9783764382643

Verlag: Birkhäuser Basel, Springer Basel Sep 2007, 2007

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 456 pp. Englisch.

Bestandsnummer des Verkäufers 9783764382643

Bibliografische Details

• Titel: Spectral Theory of Linear Operators
• Verlag: Birkhäuser Basel, Springer Basel Sep 2007
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 3764382643
• ISBN-13: 9783764382643
• Einband: Buch
• Auflage: 2. Auflage
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

Von der hinteren Coverseite

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants.

The theory is presented in a unified, axiomatic and elementary way. Many results appear here for the first time in a monograph. The material is self-contained. Only a basic knowledge of functional analysis, topology, and complex analysis is assumed.

The monograph should appeal both to students who would like to learn about spectral theory and to experts in the field. It can also serve as a reference book.

The present second edition contains a number of new results, in particular, concerning orbits and their relations to the invariant subspace problem.

 

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants.

The theory is presented in a unified, axiomatic and elementary way. Many results appear here for the first time in a monograph. The material is self-contained. Only a basic knowledge of functional analysis, topology, and complex analysis is assumed.

The present second edition contains a number of new results, in particular, concerning orbits and their relations to the invariant subspace problem.

 

Due to its very clear style and the careful organization of the material, this truly brilliant book may serve as an introduction into the field, yet it also provides an excellent source of information on specific topics in spectral theory for the working mathematician.

Review of the first edition by M. Grosser, Vienna

Monatshefte für Mathematik Vol. 146, No. 1/2005