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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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An internal characterization of inessential operators
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by Pietro Aiena PDF
Proc. Amer. Math. Soc. 102 (1988), 625-626 Request permission

Abstract:

We characterize the ideal of inessential operators $I(E)$ on a complex Banach space $E$ as the largest ideal of the class $\mathcal {A}(E)$ of all bounded linear operators $A$ having the property that the restrictions $A\left | M \right .$ of $A$ on any closed infinite-dimensional invariant subspace $M$ may be.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 625-626
  • MSC: Primary 47B05
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0928992-7
  • MathSciNet review: 928992