Approximation of the Quadratic Double Centralizers and Quadratic multipliers on non-Archimedean Banach algebras

H. Baghban; H. Molaei

doi:10.24297/jam.v9i6.2321

Approximation of the Quadratic Double Centralizers and Quadratic multipliers on non-Archimedean Banach algebras

Authors

H. Baghban UNIVERSITY COLLEGE OF SCIENCE AND TECHNOLOGY ELM O FANN URMIA, P. O. BOX 57351-33746, URMIA
H. Molaei UNIVERSITY COLLEGE OF SCIENCE AND TECHNOLOGY ELM O FANN URMIA, P. O.BOX 7351-33746, URMIA DEPARTMENT OF MATHEMATICS TECHNICAL AND VOCATINAL UNIVERSITY AZITABATABAEI, P. O. BOX 57169-33950, URMIA

DOI:

https://doi.org/10.24297/jam.v9i6.2321

Keywords:

quadratic functional equation, non-Archimedean Banach algebras, multiplier, double centralizer, Stability, Superstability

Abstract

In this paper, we establish stability of quadratic double centralizers and quadratic multipliers on non-Archimedean Banach algebras. We also prove the superstability of quadratic double centralizers on non-Archimedean Banach algebras which are weakly commutative and weakly without order, and of quadratic multipliers on non-Archimedean Banach algebras which are weakly without order.

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Published

2014-12-08

How to Cite

Baghban, H., & Molaei, H. (2014). Approximation of the Quadratic Double Centralizers and Quadratic multipliers on non-Archimedean Banach algebras. JOURNAL OF ADVANCES IN MATHEMATICS, 9(6), 2753–2761. https://doi.org/10.24297/jam.v9i6.2321