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Bi-additive s-Functional Inequalities and Quasi-∗-Multipliers on Banach Algebras

Authors
Park, Choonkil
Issue Date
Jun-2019
Publisher
SPRINGER HEIDELBERG
Keywords
Quasi-multiplier on C*-algebra; Quasi-*-multiplier on Banach algebra; Hyers-Ulam stability; Bi-additive s-functional inequality
Citation
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v.50, no.2, pp.561 - 574
Indexed
SCIE
SCOPUS
Journal Title
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
Volume
50
Number
2
Start Page
561
End Page
574
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147662
DOI
10.1007/s00574-018-0119-3
ISSN
1678-7544
Abstract
In this paper, we solve the following bi-additive s-functional inequalities where s is a fixed nonzero complex number with | s| < 1. Moreover, we prove the Hyers-Ulam stability of quasi-*-multipliers on Banach *-algebras and unital C *algebras, associated with the bi-additive s-functional inequalities (1) and (2).
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