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 σ(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 σ(T).
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The research is supported by a grant from the Institute for Studies in Theoretical Physics and Mathematics (IRAN).
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Mohebi, H., Radjabalipour, M. Scott Brown's techniques for perturbations of decomposable operators. Integr equ oper theory 18, 222–241 (1994). https://doi.org/10.1007/BF01192461
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DOI: https://doi.org/10.1007/BF01192461