A generalization of Lomonosov’s inequality and its applications to invariant subspaces

Ansari, Shamim

doi:10.1090/S0002-9939-02-06644-3

A generalization of Lomonosov’s inequality and its applications to invariant subspaces
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by Shamim I. Ansari PDF

Proc. Amer. Math. Soc. 130 (2002), 2905-2909 Request permission

Abstract:

In this article we generalize Victor Lomonosov’s famous inequality so as to be applicable to a wider class of functions. Then using it we prove that the adjoint of an algebra with a compactness property which is weaker than the PS property, employed by Victor Lomonosov, has nontrivial invariant subspaces.

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