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Affine mappings of invertible operators
Author(s):
Lawrence
A.
Harris;
Richard
V.
Kadison
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2415-2422.
MSC (1991):
Primary 46L05
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Abstract:
The infinite-dimensional analogues of the classical general linear group appear as groups of invertible elements of Banach algebras. Mappings of these groups onto themselves that extend to affine mappings of the ambient Banach algebra are shown to be linear exactly when the Banach algebra is semi-simple. The form of such linear mappings is studied when the Banach algebra is a C*-algebra.
References:
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Additional Information:
Lawrence
A.
Harris
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
Richard
V.
Kadison
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395
DOI:
10.1090/S0002-9939-96-03445-4
PII:
S 0002-9939(96)03445-4
Keywords:
Banach algebra,
C*-algebra,
invertible elements
Received by editor(s):
February 13, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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