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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Double commutants of algebraic operators
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by T. Rolf Turner PDF
Proc. Amer. Math. Soc. 33 (1972), 415-419 Request permission

Erratum: Proc. Amer. Math. Soc. 45 (1974), 466.

Abstract:

The double commutant of an algebraic operator on a complex Hilbert space is equal to the algebra (with identity) generated by that operator.
References
    J. Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien, Gauthier-Villars, Paris, 1969.
  • Nathan Jacobson, Lectures in abstract algebra. Vol. II. Linear algebra, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0053905
  • Irving Kaplansky, Infinite abelian groups, Revised edition, University of Michigan Press, Ann Arbor, Mich., 1969. MR 0233887
  • Marvin Rosenblum, On the operator equation $BX-XA=Q$, Duke Math. J. 23 (1956), 263–269. MR 79235
    • N. Salinas and D. Herrero, Analytically invariant and bi-variant subspaces (to appear).
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 415-419
  • MSC: Primary 47A65; Secondary 46L99
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0291863-4
  • MathSciNet review: 0291863