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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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Products of positive operators
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by Gerard J. Murphy PDF
Proc. Amer. Math. Soc. 125 (1997), 3675-3677 Request permission

Abstract:

A new, very simple proof is given of a result of P. Y. Wu which asserts that every unitary operator on an infinite-dimensional Hilbert space is a product of positive operators.
References
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Additional Information
  • Gerard J. Murphy
  • Affiliation: Department of Mathematics, University College, Cork, Ireland
  • Email: gjm@ucc.ie
  • Received by editor(s): March 29, 1996
  • Received by editor(s) in revised form: July 22, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3675-3677
  • MSC (1991): Primary 46L05, 47A65
  • DOI: https://doi.org/10.1090/S0002-9939-97-04019-7
  • MathSciNet review: 1415356