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Adjoints and the image of the ball
Author(s):
Fred
Richman
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1189-1193.
MSC (2000):
Primary 03F65, 47A05
Posted:
September 20, 2000
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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.
References:
- 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 (http://www.math.fau.edu/Richman/html/docs.htm); 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
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Additional Information:
Fred
Richman
Affiliation:
Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
Email:
richman@fau.edu
DOI:
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
Posted:
September 20, 2000
Communicated by:
Carl G. Jockusch, Jr.
Copyright of article:
Copyright
2000,
American Mathematical Society
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