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ALGEBRAIC ASPECTS OF SPECTRAL THEORY

Part of: Basic linear algebra General theory of linear operators Individual linear operators as elements of algebraic systems

Published online by Cambridge University Press:  21 December 2010

E. B. Davies
E. B. Davies*
Affiliation:
Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K. (email: E.Brian.Davies@kcl.ac.uk)
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Abstract

We describe some aspects of spectral theory that involve algebraic considerations but need no analysis. Some of the important applications of the results are to the algebra of n×n matrices with entries that are polynomials or more general analytic functions.

MSC classification

Secondary: 47C05: Operators in algebras 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 15A22: Matrix pencils
Type
Research Article
Information
Mathematika , Volume 57 , Issue 1 , January 2011 , pp. 63 - 88
Copyright
Copyright © University College London 2011

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