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Scott Brown's techniques for perturbations of decomposable operators
Authors:H Mohebi  M Radjabalipour
Institution:(1) University of Kerman, Kerman, Iran;(2) The Academy of Sciences, Tehran, Iran
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 sgr(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 sgr(T).The research is supported by a grant from the Institute for Studies in Theoretical Physics and Mathematics (IRAN).
Keywords:47B40  47A10  47A15
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