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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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Adjoints and the image of the ball
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by Fred Richman PDF
Proc. Amer. Math. Soc. 129 (2001), 1189-1193 Request permission

Abstract:

A bounded operator between Hilbert spaces has an adjoint if and only if the image of the unit ball is located.
References
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Additional Information
  • Fred Richman
  • Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
  • Email: richman@fau.edu
  • Received by editor(s): January 8, 1999
  • Received by editor(s) in revised form: June 8, 1999
  • Published electronically: September 20, 2000
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1189-1193
  • MSC (2000): Primary 03F65, 47A05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05618-5
  • MathSciNet review: 1701689