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A construction of
Lomonosov functions and applications to the invariant
subspace problem
Aleksander Simonič |
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Vol. 175 (1996), No. 1, 257–270
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Abstract |
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In this paper we give a constructive proof of an abstract approximation theorem inspired by the celebrated result of V. I. Lomonosov. This theorem is applied to obtain an alternative proof of some recent characterizations of the invariant subspace problem. We also establish density of non-cyclic vectors for the dual of a set of compact quasinilpotent operators, and conclude with the open problem of obtaining a similar result for the original set, rather than its dual. |
Mathematical Subject Classification 2000
Primary: 47A15
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Milestones
Received: 28 April 1994
Revised: 16 December 1994
Published: 1 September 1996
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Authors |
| Aleksander Simonič | |
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