Constructing ultraweakly continuous functionals on ℬ(ℋ)-Reference-Cited by-同舟云学术

Constructing ultraweakly continuous functionals on ℬ(ℋ)

Published:1998 Issue:11 Volume:126 Page:3347-3353
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bridges D.,Ward N.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-11/S0002-9939-98-04432-3/S0002-9939-98-04432-3.pdf

Reference13 articles.

1. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Bishop, Errett,1985

2. On weak operator compactness of the unit ball of 𝐿(𝐻);Bridges, Douglas S.;Z. Math. Logik Grundlagen Math.,1978

3. A constructive look at positive linear functionals on \cal𝐿(𝐻);Bridges, Douglas S.;Pacific J. Math.,1981

4. 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. Douglas Bridges and Fred Richman, A constructive proof of Gleason’s Theorem, to appear.

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