Quasi Jordan algebras with involution

Reem K. Alhefthi (), Akhlaq A. Siddiqui () and Fatmah B. Jamjoom ()
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Reem K. Alhefthi: College of Sciences, King Saud University
Akhlaq A. Siddiqui: College of Sciences, King Saud University
Fatmah B. Jamjoom: College of Sciences, King Abdul Aziz University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 112-124

Abstract: Abstract We initiate a study of involutions in the setting of complex quasi Jordan algebras and discuss the notions of self-adjoint and unitary elements; besides other results, we also obtain a Russo-Dye type theorem for unital involutive split quasi Jordan Banach algebras.

Keywords: Jordan algebra; Jordan Banach algebra; Dialgebra; Leibniz algebra; Quasi Jordan algebra; Quasi Jordan Banach algebra; Split quasi Jordan algebra; Jordan part; Zero part; Involution; Self-adjoint element; Unitary element; 17A30; 17A32; 17B40; 17C50; 17C99 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00084-x

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