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Commutativity criteria for Banach  -algebras
Author(s):
L.
C.
Leinbach;
Bertram
Yood
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2307-2312.
MSC (1991):
Primary 46H10
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Abstract:
Let  be a Banach  -algebra with an identity. Necessary and sufficient conditions are given for  to be commutative modulo its  -radical and for  to be commutative if  has a faithful  -representation as operators on a Hilbert space.
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Additional Information:
L.
C.
Leinbach
Affiliation:
Department of Mathematics, Gettysburg College, Gettysburg, Pennsylvania 17325
Bertram
Yood
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
DOI:
10.1090/S0002-9939-97-03854-9
PII:
S 0002-9939(97)03854-9
Received by editor(s):
October 12, 1995
Received by editor(s) in revised form:
January 30, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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