Quasi-Jordan Banach Algebras

Reem K. Alhefthi, Akhlaq A. Siddiqui and Fatmah B. Jamjoom

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:690806

DOI: 10.1155/2014/690806

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