JP Journal of Geometry and Topology
Volume 7, Issue 2, Pages 235 - 248
(July 2007)
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CHARACTERIZATION OF CONTINUOUS FUNCTIONS ON OPEN CONNECTED SUBSET OF 
Fatima M. Azmi (Saudi Arbia)
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Abstract:
Let A be a Fréchet *
-algebra with n-pairwise commuting self-adjoint generators and with no
nontrivial idempotent. By imposing the condition that the joint spectral image
of the generators contains no boundary points, we are led to a definition of n-special
 algebra, and prove that the character 
of A is homeomorphic to an open connected subset of 
Then by adopting a suitable generalization of the Gelfand-Naimark theorem, we
characterize the algebra of all continuous complex valued functions defined on
open connected subset of  |
| Keywords and phrases: C * algebra, Fréchet *
-algebra, Gelfand Naimark theorem,
character of A, joint spectrum. |
| Communicated by Yasuo Matsushita |
| Number of Downloads: 258 | Number of Views: 568 |
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