Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

Star ring homomorphisms between commutative Banach algebras

Author(s): Takeshi Miura
Journal: Proc. Amer. Math. Soc. 129 (2001), 2005-2010.
MSC (1991): Primary 46J10
Posted: November 21, 2000
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract:

We consider a $\ast$ -ring homomorphism from a commutative Banach algebra with an involution to a commutative Banach algebra with a symmetric involution. We give the Gelfand transform of the $\ast$ -ring homomorphism image.

References:

1.: I. Kaplansky, Ring isomorphisms of Banach algebras, Canad. J. Math. 6 (1954), 374-381. MR 16:49e
2.: H. Kestelman, Automorphisms of the field of complex numbers, Proc. London Math. Soc. (2) 53 (1951), 1-12. MR 12:812b
3.: G. K. Pedersen, $C^{\ast}$ -Algebras and their Automorphism Groups, Academic Press, London 1979. MR 81e:46037
4.: P. Semrl, Non linear perturbations of homomorphisms on C(X), Quart. J. Math. Oxford Ser. (2) 50 (1999), no. 197, 87-109. MR 2000a:46074
5.: S.-E. Takahasi and O. Hatori, A structure of ring homomorphisms on commutative Banach algebras, Proc. Amer. Math. Soc. 127 (1999) no. 8, 2283-2288. MR 99j:46058

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46J10

Retrieve articles in all Journals with MSC (1991): 46J10

Additional Information:

Takeshi Miura
Affiliation: Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-chou, Niigata 950-2181, Japan
Email: miura@scux.sc.niigata-u.ac.jp

DOI: 10.1090/S0002-9939-00-05781-6
PII: S 0002-9939(00)05781-6
Keywords: Commutative Banach algebras, ring homomorphisms
Received by editor(s): May 17, 1999
Received by editor(s) in revised form: October 22, 1999
Posted: November 21, 2000
Communicated by: Dale Alspach
Copyright of article: Copyright 2000, American Mathematical Society


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS