Please note, that the journal's website will not be available from the evening of May 4th to the morning of May 6th.
MMN-2065

A correction to approximation of generalized homomorphisms in quasi-Banach algebras

Ismail Nikoufar;

Abstract

Eshaghi et. al [Approximation of generalized homomorphisms in quasi--Banach algebras, An. St. Univ. Ovidius Constanta, 17(2), (2009), 203--214] defined the notion of generalized homomorphisms in quasi--Banach algebras. They investigated generalized homomorphisms from quasi--Banach algebras to $p$--Banach algebras and proved the generalized Hyers--Ulam--Rassias stability. In this paper, we show that their results only hold for Banach algebras and then we correct their results and prove the results for $p$--Banach algebras.


Vol. 19 (2018), No. 1, pp. 423-430
DOI: 10.18514/MMN.2018.2065


Download: MMN-2065