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عنوان
Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

پدید آورنده
by Vladimir Müller.

موضوع
Mathematics.,Operator theory.

رده

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
9783034877886
(Number (ISBN
9783034877909

NATIONAL BIBLIOGRAPHY NUMBER

Number
b406194

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras
General Material Designation
[Book]
First Statement of Responsibility
by Vladimir Müller.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Basel :
Name of Publisher, Distributor, etc.
Imprint: Birkhäuser,
Date of Publication, Distribution, etc.
2003.

SERIES

Series Title
Operator Theory: Advances and Applications ;
Volume Designation
139

CONTENTS NOTE

Text of Note
I Banach Algebras -- II Operators -- III Essential Spectrum -- IV Taylor Spectrum -- V Orbits and Capacity -- A.l Banach spaces -- A.2 Analytic vector-valued functions -- A.3 C°-functions -- A.4 Semicontinuous set-valued functions -- List of Symbols.
0

SUMMARY OR ABSTRACT

Text of Note
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

OTHER EDITION IN ANOTHER MEDIUM

International Standard Book Number
9783034877909

PIECE

Title
Springer eBooks

TOPICAL NAME USED AS SUBJECT

Mathematics.
Operator theory.

PERSONAL NAME - PRIMARY RESPONSIBILITY

Müller, Vladimir.

CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY

SpringerLink (Online service)

ORIGINATING SOURCE

Date of Transaction
20190307162200.0

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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