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Spectral approximation theorems for bounded linear operators
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1973
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