On closed subspaces of operator ranges
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- by Robin Harte and Gerry Shannon PDF
- Proc. Amer. Math. Soc. 118 (1993), 171-173 Request permission
Abstract:
Necessary and sufficient for the closure of a linear subspace to lie in the range of a bounded linear operator is a certain "bounded preimage property" for the operator.References
- E. Albrecht and R. D. Mehta, Some remarks on local spectral theory, J. Operator Theory 12 (1984), no. 2, 285–317. MR 757436
- Seymour Goldberg, Unbounded linear operators: Theory and applications, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0200692 R. E. Harte, Invertibility and singularity, Dekker, New York, 1988.
- Ju. N. Vladimirskiĭ, Remarks on Calkin operators, Sibirsk. Mak. Ž. 17 (1976), no. 5, 963–966, 1196 (Russian). MR 0423109, DOI 10.1007/bf00966369
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 171-173
- MSC: Primary 47A05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1131035-8
- MathSciNet review: 1131035