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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Completely reducible operators that commute with compact operators
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by Shlomo Rosenoer PDF
Trans. Amer. Math. Soc. 299 (1987), 33-40 Request permission

Abstract:

It is shown that if $T$ is a completely reducible operator on a Banach space and $TK = KT$, where $K$ is an injective compact operator with a dense range, then $T$ is a scalar type spectral operator. Other related results are also obtained.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 299 (1987), 33-40
  • MSC: Primary 47B40; Secondary 47A15, 47D30
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0869397-0
  • MathSciNet review: 869397