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Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras (Operator Theory: Advances and Applications)
Rok: 2007
ISBN: 9783764382643
OKCZID: 110223186
Citace (dle ČSN ISO 690):
MÜLLER, Vladimír. Spectral theory of linear operators and spectral systems in Banach algebras. 2nd ed. Basel: Birkhäuser, 2007, 439 s. Operator theory, v.. 139. ISBN 978-3-7643-8264-3.
Anotace
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.