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http://dx.doi.org/10.5831/HMJ.2020.42.2.411

PSEUDO n-JORDAN HOMOMORPHISMS AND PSEUDO n-HOMOMORPHISMS ON BANACH ALGEBRAS  

Ebadian, Ali (Faculty of Science, Department of Mathematics, Urmia University)
Gordji, Madjid Eshaghi (Department of Mathematics, Semnan University)
Jabbari, Ali (Young Researchers and Elite Club, Islamic Azad University)
Publication Information
Honam Mathematical Journal / v.42, no.2, 2020 , pp. 411-423 More about this Journal
Abstract
In this paper, we correct some errors and typos of [2] and introduce a new concept related to pseudo n-Jordan homomorphisms, that we call it pseudo n-homomorphism. We investigate automatic continuity and positivity of pseudo n-homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras and C*-algebras. Moreover, we show that the sum of two pseudo n-Jordan homomorphisms is not a pseudo n-Jordan homomorphism and we show that under some conditions the sum of two pseudo n-Jordan homomorphisms is a pseudo n-Jordan homomorphism.
Keywords
Homomorphism; Jordan homomorphism; n-Jordan homomorphism; Pseudo n-homomorphism; Pseudo n-Jordan homomorphism;
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