BI-ADDITIVE s-FUNCTIONAL INEQUALITIES AND QUASI-MULTIPLIERS ON BANACH ALGEBRAS
- Authors
- Park, Choonkil; Jin, Yuanfeng; Zhang, Xiaohong
- Issue Date
- 2019
- Publisher
- ROCKY MT MATH CONSORTIUM
- Keywords
- bi-additive s -functional inequality; Hyers-Ulam stability; quasi-multiplier on C ∗ -algebras; quasi-multiplier on Banach algebras
- Citation
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.49, no.2, pp.593 - 607
- Indexed
- SCIE
SCOPUS
- Journal Title
- ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Volume
- 49
- Number
- 2
- Start Page
- 593
- End Page
- 607
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148665
- DOI
- 10.1216/RMJ-2019-49-2-593
- ISSN
- 0035-7596
- Abstract
- In this paper, we solve the following bi-additive s-functional inequalities:
parallel to f( x + y, z - w ) + f( x - y, z + w ) - 2f( x, z )+2f ( y, w )parallel to <= parallel to s(2f(x+y/2, z-w) + 2f (x-y/2, z+w) - 2f(x, z) + 2f(y, w))parallel to,
parallel to 2f(x+y/2, z-w)+2f(x-y/2, z+w)-2f(x, z)+2f(y, w)parallel to <= parallel to s(f(x+y, z-w)+f(x-y, z+w)-2f(x, z)+2f(y, w))parallel to,
where s is a fixed nonzero complex number with vertical bar s vertical bar < 1. We also prove the Hyers-Ulam stability of quasi-multipliers on Banach algebras and unital C*-algebras associated with the bi-additive s-functional inequalities above.
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