Scott Brown's techniques for perturbations of decomposable operators |
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Authors: | H Mohebi M Radjabalipour |
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Institution: | (1) University of Kerman, Kerman, Iran;(2) The Academy of Sciences, Tehran, Iran |
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Abstract: | Using Scott Brown's techniques, J. Eschmeier and B. Prunaru showed that if T is the restriction of a decomposable (or S-decomposable) operator B to an invariant subspace such that (T) is dominating in C/S for some closed set S, then T has an invariant subspace. In the present paper we prove various invariant subspace theorems by weakening the decomposability condition on B and strengthening the thickness condition on (T).The research is supported by a grant from the Institute for Studies in Theoretical Physics and Mathematics (IRAN). |
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Keywords: | 47B40 47A10 47A15 |
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