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Compact homomorphisms of URM algebras
Author(s):
F.
Behrouzi;
H.
Mahyar
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1205-1212.
MSC (2000):
Primary 46J10;
Secondary 46J15
Posted:
October 18, 2004
MathSciNet review:
2117223
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Abstract:
We show when a homomorphism from a URM algebra into a uniform algebra or into a regular Banach algebra is weakly compact or compact. We prove that every homomorphism from URM algebras into  is compact. Finally, we characterize the spectra of compact endomorphisms of URM algebras defined on a connected compact Hausdorff space  .
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Additional Information:
F.
Behrouzi
Affiliation:
Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran 15618, Iran
Email:
behrouzif@yahoo.com
H.
Mahyar
Affiliation:
Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran 15618, Iran
Email:
mahyar@saba.tmu.ac.ir
DOI:
10.1090/S0002-9939-04-07592-6
PII:
S 0002-9939(04)07592-6
Keywords:
Compact and weakly compact homomorphism,
Gleason part,
analytic structure
Received by editor(s):
February 2, 2003
Received by editor(s) in revised form:
December 18, 2003
Posted:
October 18, 2004
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2004,
American Mathematical Society
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