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Invariant Subspace of Strictly Singular Operators

Ruan Ji-Shou
Proceedings of the American Mathematical Society
Vol. 108, No. 4 (Apr., 1990), pp. 931-936
DOI: 10.2307/2047948
Stable URL: http://www.jstor.org/stable/2047948
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Invariant Subspace of Strictly Singular Operators
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Abstract

In this paper, we show that strictly singular operators are condensing maps. Moreover, we obtain a new result that every bounded linear operator T on a Banach space that commutes with a nonzero strictly singular operator S has a non-trivial invariant closed subspace.

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