A topological characterization of linearity

for quasi-traces

Authors:
L. J. Bunce and J. D. Maitland Wright

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2377-2381

MSC (1991):
Primary 46L30, 46L05

DOI:
https://doi.org/10.1090/S0002-9939-96-03288-1

MathSciNet review:
1322914

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a -algebra, and let be a (local) quasi-trace on . Then is linear if, and only if, the restriction of to the closed unit ball of is uniformly weakly continuous.

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Additional Information

**L. J. Bunce**

Affiliation:
Department of Mathematics, The University of Reading, White Knights, P. O. Box 220, Reading RG6 2AX, England

**J. D. Maitland Wright**

Affiliation:
Isaac Newton Institute, 20 Clarkson Road, Cambridge, England

DOI:
https://doi.org/10.1090/S0002-9939-96-03288-1

Received by editor(s):
May 16, 1994

Received by editor(s) in revised form:
January 24, 1995

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1996
American Mathematical Society