MATRIX FORMULATION FOR INFINITE-RANK OPERATORS
DSpace at IIT Bombay
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Title |
MATRIX FORMULATION FOR INFINITE-RANK OPERATORS
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Creator |
LIMAYE, BV
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Subject |
finite-rank operator
operator equation eigenspace spectral subspace matrix formulation STABILITY EQUATIONS |
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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.
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Publisher |
ELEMENT
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Date |
2014-10-15T17:16:46Z
2014-10-15T17:16:46Z 2012 |
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Type |
Article; Proceedings Paper
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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 |
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Language |
en
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