Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On closed subspaces of operator ranges

Authors: Robin Harte and Gerry Shannon
Journal: Proc. Amer. Math. Soc. 118 (1993), 171-173
MSC: Primary 47A05
MathSciNet review: 1131035
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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.

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Keywords: Operator ranges, bounded sequences, Calkin property
Article copyright: © Copyright 1993 American Mathematical Society