Compact operators and the geometric

structure of -algebras

Authors:
M. Anoussis and E. G. Katsoulis

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2115-2122

MSC (1991):
Primary 47C15, 46B20; Secondary 47D25

DOI:
https://doi.org/10.1090/S0002-9939-96-03285-6

MathSciNet review:
1322911

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Abstract | References | Similar Articles | Additional Information

Abstract: Given a -algebra and an element , we give necessary and sufficient geometric conditions equivalent to the existence of a representation of so that is a compact or a finite-rank operator. The implications of these criteria on the geometric structure of -algebras are also discussed.

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Additional Information

**M. Anoussis**

Affiliation:
Department of Mathematics, University of the Aegean, Karlovasi 83200, Greece

**E. G. Katsoulis**

Affiliation:
Department of Mathematics, East Carolina University, Greenville, North Carolina 27858

DOI:
https://doi.org/10.1090/S0002-9939-96-03285-6

Received by editor(s):
September 12, 1994

Received by editor(s) in revised form:
January 30, 1995

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1996
American Mathematical Society