Invariant subspace of strictly singular operators
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- by Ji Shou Ruan PDF
- Proc. Amer. Math. Soc. 108 (1990), 931-936 Request permission
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.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 931-936
- MSC: Primary 47A15; Secondary 47H09
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002160-4
- MathSciNet review: 1002160