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An invariant subspace
theorem of J. Feldman
Thomas Alastair Gillespie |
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Vol. 26 (1968), No. 1, 67–72
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Abstract |
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Theorem. Let t be a quasi-nilpotent bounded linear operator on a complex normed space X of dimension greater than one. Suppose further that there is a sequence {pn(t)} of polynomials in t and a nonzero compact operator s on X such that pn(t) → s (in norm) as n →∞. Then t has a proper closed invariant subspace. |
Mathematical Subject Classification
Primary: 47.35
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Milestones
Received: 18 August 1967
Published: 1 July 1968
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Authors |
| Thomas Alastair Gillespie | |
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