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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Adjoints and the image of the ball


Author: Fred Richman
Journal: Proc. Amer. Math. Soc. 129 (2001), 1189-1193
MSC (2000): Primary 03F65, 47A05
Published electronically: September 20, 2000
MathSciNet review: 1701689
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Abstract:

A bounded operator between Hilbert spaces has an adjoint if and only if the image of the unit ball is located.


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Additional Information

Fred Richman
Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
Email: richman@fau.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05618-5
PII: S 0002-9939(00)05618-5
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.
Article copyright: © Copyright 2000 American Mathematical Society