STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS
- Authors
- Lee, Jung Rye; Park, Choonkil; Shin, Dong Yun
- Issue Date
- Jul-2011
- Publisher
- 대한수학회
- Keywords
- additive functional inequality; Hyers-Ulam-Rassias stability; proper CQ*-algebras; proper CQ*-algebra homomorphism; derivation
- Citation
- 대한수학회보, v.48, no.4, pp 853 - 871
- Pages
- 19
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- 대한수학회보
- Volume
- 48
- Number
- 4
- Start Page
- 853
- End Page
- 871
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/168071
- DOI
- 10.4134/BKMS.2011.48.4.853
- ISSN
- 1015-8634
2234-3016
- Abstract
- In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: (0.1) parallel to f(2x) + f(2y) + 2f(z)parallel to <= parallel to 2f(x + y + z)parallel to. We investigate homomorphisrns in proper CQ*-algebras and derivations on proper CQ*-algebras associated with the additive functional inequality (0.1).
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