Proceedings of the American Mathematical Society

Author(s): M. Anoussis; E. G. Katsoulis
Journal: Proc. Amer. Math. Soc. 124 (1996), 2115-2122.
MSC (1991): Primary 47C15, 46B20; Secondary 47D25
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Abstract: Given a $C^\ast$ -algebra $\mathcal {A}$ and an element $A\in \mathcal{A}$ , we give necessary and sufficient geometric conditions equivalent to the existence of a representation $(\phi ,\mathcal {H})$ of $\mathcal {A}$ so that $\phi (A)$ is a compact or a finite-rank operator. The implications of these criteria on the geometric structure of $C^\ast$ -algebras are also discussed.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47C15, 46B20, 47D25

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

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