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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Controlling and supporting sets
in operator algebras


Authors: Charles Burnap and Alan Lambert
Journal: Proc. Amer. Math. Soc. 127 (1999), 1357-1362
MSC (1991): Primary 46L05, 46H20, 47B47
Published electronically: January 28, 1999
MathSciNet review: 1600112
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Abstract | References | Similar Articles | Additional Information

Abstract: Two properties of subspaces of Banach algebras are introduced. These are closely related to Mathieu's concept of ultraprime Banach algebras. Special attention is paid to nested $C^*$ and $W^*$ algebras.


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Additional Information

Charles Burnap
Affiliation: Department of Mathematics, The University of North Carolina at Charlotte, Charlotte, North Carolina 28223
Email: caburnap@email.uncc.edu

Alan Lambert
Affiliation: Department of Mathematics, The University of North Carolina at Charlotte, Charlotte, North Carolina 28223
Email: allamber@email.uncc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04830-3
Received by editor(s): August 6, 1997
Published electronically: January 28, 1999
Communicated by: David R. Larson
Article copyright: © Copyright 1999 American Mathematical Society