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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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On derivations of certain algebras related to irreducible triangular algebras
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by Baruch Solel PDF
Trans. Amer. Math. Soc. 277 (1983), 263-273 Request permission

Abstract:

This paper deals with derivations on algebras that are generated by a maximal abelian selfadjoint algebra of operators $\mathcal {A}$ on a Hilbert space and a group of unitary operators acting on it. A necessary and sufficient condition for such a derivation to be implemented by an operator affiliated with $\mathcal {A}$ is given. The results are related to the study of derivations on a certain class of irreducible triangular algebras.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 277 (1983), 263-273
  • MSC: Primary 46L55; Secondary 47D99
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0690051-9
  • MathSciNet review: 690051