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Constructing ultraweakly continuous functionals on
Author(s):
D.
S.
Bridges;
N.
F. Dudley
Ward
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3347-3353.
MSC (1991):
Primary 46S30
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Abstract:
In this paper we give a constructive characterisation of ultraweakly continuous linear functionals on the space of bounded linear operators on a separable Hilbert space.
References:
- 1.
- Errett Bishop and Douglas Bridges, Constructive Analysis, Grundlehren der math. Wissenschaften, Bd. 279, Springer-Verlag, Berlin, 1985. MR 87d:03172
- 2.
- Douglas Bridges, On weak operator compactness of the unit ball of
Zeit. math. Logik und Grundlagen der Math., 24, 493-494 (1978). MR 80d:03060 - 3.
- Douglas Bridges, A constructive look at positive linear functionals on
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- Douglas Bridges and Hajime Ishihara, Spectra of selfadjoint operators in constructive analysis, Proc. Koninklijke Nederlandse Akad. Wetenschappen, Series A (Indag. Math.), Vol. 7(1), 11-36 (1996).
- 5.
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- 7.
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- 8.
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-algebras and -algebras, Ergebnisse der Math. und Ihrer Grenzgebiete, Bd. 60, Springer-Verlag, Berlin, 1971. MR 56:1082
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Additional Information:
D.
S.
Bridges
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand
Email:
douglas@waikato.ac.nz
N.
F. Dudley
Ward
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, England
DOI:
10.1090/S0002-9939-98-04432-3
PII:
S 0002-9939(98)04432-3
Received by editor(s):
September 1, 1995
Received by editor(s) in revised form:
April 7, 1997
Communicated by:
Andreas R. Blass
Copyright of article:
Copyright
1998,
American Mathematical Society
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