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MATRIX FORMULATION FOR INFINITE-RANK OPERATORS

DSpace at IIT Bombay

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Field Value
 
Title MATRIX FORMULATION FOR INFINITE-RANK OPERATORS
 
Creator LIMAYE, BV
 
Subject finite-rank operator
operator equation
eigenspace
spectral subspace
matrix formulation
STABILITY
EQUATIONS
 
Description Every finite-rank operator on a linear space X is the composition of an operator from X to a finite dimensional Euclidean space and of an operator from that Euclidean space to X. We consider operators which are the sum of a finite-rank operator and another infinite-rank operator which satisfies an invariance condition with respect to one of the two 'components' of the finite-rank operator. A canonical procedure is given to reduce operator equations, eigenvalue problems and spectral subspace problems involving such operators to corresponding problems for finite matrices.
 
Publisher ELEMENT
 
Date 2014-10-15T17:16:46Z
2014-10-15T17:16:46Z
2012
 
Type Article; Proceedings Paper
 
Identifier OPERATORS AND MATRICES, 6(2)357-370
http://dx.doi.org/10.7153/oam-06-26
http://dspace.library.iitb.ac.in/jspui/handle/100/15306
 
Language en