Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
Full-text PDF

Abstract | References | Similar Articles | Additional Information


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

References [Enhancements On Off] (What's this?)

  • 1. ERRETT BISHOP AND DOUGLAS BRIDGES, Constructive Analysis, Grundlehren der math. Wissenschaften 279, Springer-Verlag 1985. MR 87d:03172
  • 2. DOUGLAS BRIDGES, FRED RICHMAN AND PETER SCHUSTER, Adjoints, absolute values and polar decompositions, preprint (; J. Operator Theory (to appear).
  • 3. DOUGLAS BRIDGES, FRED RICHMAN, AND WANG YUCHUAN, Sets, complements and boundaries, Indag. Math. 7 (1996), 425-445. MR 99f:03087
  • 4. HAJIME ISHIHARA, Constructive compact operators on a Hilbert space, Ann. Pure Appl. Logic 52 (1991), 31-37. MR 92c:03066
  • 5. FRED RICHMAN, Generalized real numbers in constructive mathematics, Indag. Math. 9 (1998), 595-606. CMP 99:14

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 03F65, 47A05

Retrieve articles in all journals with MSC (2000): 03F65, 47A05

Additional Information

Fred Richman
Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431

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

American Mathematical Society