Spectral Theory of Linear Operators

Muller, Vladimir

ISBN 10: 3764382643 / ISBN 13: 9783764382643

Editore: Birkhauser Verlag AG, 2007

Presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. This book contains results, in particular, concerning orbits and their relations to the invariant subspace problem. It is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. Series: Operator Theory: Advances and Applications. Num Pages: 448 pages, biography. BIC Classification: PBF; PBKF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 29. Weight in Grams: 930. . 2007. 2nd ed. 2007. Hardback. . . . . Books ship from the US and Ireland. Codice articolo V9783764382643

Riassunto:

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.

Dalla quarta di copertina:

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

Dati bibliografici

Titolo: Spectral Theory of Linear Operators
Casa editrice: Birkhauser Verlag AG
Data di pubblicazione: 2007
Legatura: Rilegato
Condizione: New
Edizione: seconda edizione