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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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