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A CHARACTERISATION OF 3-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS

Part of: Topological algebras, normed rings and algebras, Banach algebras Selfadjoint operator algebras Special classes of linear operators

Published online by Cambridge University Press:  04 September 2015

A. ZIVARI-KAZEMPOUR
A. ZIVARI-KAZEMPOUR*
Affiliation:
Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran email [email protected], [email protected]
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Abstract

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We show that, under special hypotheses, each 3-Jordan homomorphism ${\it\varphi}$ between Banach algebras ${\mathcal{A}}$ and ${\mathcal{B}}$ is a 3-homomorphism.

Keywords

n-homomorphismn-Jordan homomorphismC∗ -algebra

MSC classification

Primary: 47B48: Operators on Banach algebras
Secondary: 46L05: General theory of $C^*$-algebras 46H25: Normed modules and Banach modules, topological modules (if not placed in or )
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 2 , April 2016 , pp. 301 - 306
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Bonsall, F. F. and Duncan, J., Complete Normed Algebra (Springer, New York, 1973).CrossRefGoogle Scholar
Brac̆ic̆, J. and Moslehian, M. S., ‘On automatic continuity of 3-homomorphisms on Banach algebras’, Bull. Malays. Math. Sci. Soc. (2) 30(2) (2007), 195–200.Google Scholar
Dales, H. G., Banach Algebras and Automatic Continuity, London Mathematical Society Monographs, 24 (Clarendon Press, Oxford, 2000).Google Scholar
Eshaghi Gordji, M., ‘n-Jordan homomorphisms’, Bull. Aust. Math. Soc. 80(1) (2009), 159–164.Google Scholar
Eshaghi Gordji, M., Karimi, T. and Kaboli Gharetapeh, S., ‘Approximately n-Jordan homomorphisms on Banach algebras’, J. Inequal. Appl. 2009 (2009), Article ID 870843, 8 pages.Google Scholar
Hejazian, Sh., Mirzavaziri, M. and Moslehian, M. S., ‘n-homomorphisms’, Bull. Iranian Math. Soc. 31(1) (2005), 13–23.Google Scholar
Palmer, T., Banach Algebras and the General Theory of ∗ -algebras, Vol. I (Cambridge University Press, Cambridge, 1994).Google Scholar
Zelazko, W., ‘A characterization of multiplicative linear functionals in complex Banach algebras’, Studia Math. 30 (1968), 83–85.Google Scholar
Zivari-Kazempour, A., ‘Semisimplicity of the second dual of Banach algebras’, J. Pure Appl. Math. Adv. Appl. 10(2) (2013), 183–189.Google Scholar
Zivari-Kazempour, A., ‘A characterization of Jordan homomorphism on Banach algebras’, Chinese J. Math. 2014 (2014), Article ID 698621, 3 pages.Google Scholar