STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS
- Title
- STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN PROPER CQ*-ALGEBRAS
- Author
- 박춘길
- Keywords
- additive functional inequality; Hyers-Ulam-Rassias stability; proper CQ*-algebras; proper CQ*-algebra homomorphism; derivation
- Issue Date
- 2011-07
- Publisher
- The Korean Mathematical Society
- Citation
- Bulletin of the Korean Mathematical Society, 2011, 48(4), P.853-871
- 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).
- URI
- http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2011_v48n4_853
- ISSN
- 1015-8634
- DOI
- 10.4134/BKMS.2011.48.4.853
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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