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Symmetric biderivations on Banach algebras

Authors
Park, Choonkil
Issue Date
Jun-2019
Publisher
INDIAN NAT SCI ACAD
Keywords
Symmetric biderivation on C* -algebra; skew-symmetric biderivation on C* -algebra; Hyers-Ulam stability; bi-additive s-functional inequality
Citation
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, v.50, no.2, pp.413 - 426
Indexed
SCIE
SCOPUS
Journal Title
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Volume
50
Number
2
Start Page
413
End Page
426
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147653
DOI
10.1007/s13226-019-0335-6
ISSN
0019-5588
Abstract
In [25], Park introduced the following bi-additive s-functional inequalities where s is a fixed nonzero complex number with |s| < 1.In this paper, we prove the Hyers-Ulam stability of symmetric biderivations and skew-symmetric biderivation on Banach algebras and unital C* -algebras, associated with the bi-additive s-functional inequalities (1) and (2).
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