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The Projection Property

Published online by Cambridge University Press:  25 July 2002

Cornel Pasnicu
Cornel Pasnicu
Affiliation:
Department of Mathematics and Computer Science, University of Puerto Rico, Box 23355, San Juan, Puerto Rico 00931, USA e-mail: cpasnic@upracd.upr.clu.edu
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Abstract

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In this paper we prove that the ideal property and the projection property do not conincide in general even in the separable case (despite the fact that, as we proved before, they are the same for GAH algebras-and, in particular, for AH algebras-and for separable LB algebras). We also study the behaviour of the projection property with respect to several natural operations.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 2 , May 2002 , pp. 293 - 300
Copyright
2002 Glasgow Mathematical Journal Trust