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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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