A remark on a paper of J. S. Ruan: 'Invariant subspace of strictly singular operators' [Proc. Amer. Math. Soc. 108 (1990), no. 4, 931–936; MR1002160 (90g:47009)]

Authors :: Patrick M. Fitzpatrick
Seymour Goldberg
Source :: Proceedings of the American Mathematical Society. 112:601
Publication Year :: 1991
Publisher :: American Mathematical Society (AMS), 1991.
Abstract: We observe that a strictly singular operator is not necessarily condensing, so that the invariant subspace problem for strictly singular operators remains open.

Subjects :: Discrete mathematics
Algebra
Applied Mathematics
General Mathematics
Invariant subspace
Finite-rank operator
Reflexive operator algebra
Operator norm
Invariant subspace problem
Strictly singular operator
Mathematics
Bounded operator

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