Approximation of the Quadratic Double Centralizers and Quadratic multipliers on non-Archimedean Banach algebras
DOI:
https://doi.org/10.24297/jam.v9i6.2321Keywords:
quadratic functional equation, non-Archimedean Banach algebras, multiplier, double centralizer, Stability, SuperstabilityAbstract
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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