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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Approximability of the inverse of an operator
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by Avraham Feintuch
Proc. Amer. Math. Soc. 69 (1978), 109-110
DOI: https://doi.org/10.1090/S0002-9939-1978-0461178-5

Abstract:

Let A be an invertible operator on a complex Hilbert space $\mathcal {H}$. A necessary and sufficient condition is given for ${A^{ - 1}}$ to be a weak limit of polynomials in A.
References
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 109-110
  • MSC: Primary 47A50; Secondary 47C05
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0461178-5
  • MathSciNet review: 0461178