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2014 Quasi-Jordan Banach Algebras
Reem K. Alhefthi, Akhlaq A. Siddiqui, Fatmah B. Jamjoom
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/690806


We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 1 unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split quasi-Jordan Banach algebra; the set of invertible elements may not be open; the spectrum of any element is nonempty, but it may be neither bounded nor closed and hence not compact. Some characterizations of the unbounded spectrum of an element in a split quasi-Jordan Banach algebra with certain examples are given in the end.


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Reem K. Alhefthi. Akhlaq A. Siddiqui. Fatmah B. Jamjoom. "Quasi-Jordan Banach Algebras." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022887
MathSciNet: MR3191059
Digital Object Identifier: 10.1155/2014/690806

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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