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Paper   IPM / M / 174
School of Mathematics
  Title:   Scott Brown's techniques for perturbations of decomposable operators
  Author(s): 
1.  H. Mohebi
2.  M. Radjabalipour
  Status:   Published
  Journal: Integral Equations Operator Theory
  Vol.:  18
  Year:  1994
  Pages:   222-241
  Supported by:  IPM
  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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