عنوان

Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

شابک

9783034877886

شابک

9783034877909

شماره

b406194

عنوان اصلي

Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

نام عام مواد

[Book]

نام نخستين پديدآور

by Vladimir Müller.

محل نشرو پخش و غیره

Basel :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2003.

عنوان فروست

Operator Theory: Advances and Applications ;

مشخصه جلد

139

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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

شماره استاندارد بين المللي کتاب و موسيقي

9783034877909

عنوان

Springer eBooks

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Operator theory.

مستند نام اشخاص تاييد نشده

Müller, Vladimir.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307162200.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y