Quasi‐Jordan Banach Algebras

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/690806

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:690806

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