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Spectral approximation theorems for bounded linear operators

Published online by Cambridge University Press:  17 April 2009

W.S. Lo
W.S. Lo
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, Oregon, USA.
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Abstract

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In this paper we present some approximation theorems for the eigenvalue problem of a compact linear operator defined on a Banach space. In particular we examine: criteria for the existence and convergence of approximate eigenvectors and generalized eigenvectors; relations between the dimensions of the eigenmanifolds and generalized eigenmanifolds of the operator and those of the approximate operators.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 2 , April 1973 , pp. 279 - 287
Copyright
Copyright © Australian Mathematical Society 1973

References

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