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Proper CQ*-ternary algebras
- Authors
- Park, Choonkil
- Issue Date
- Dec-2014
- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS
- Keywords
- proper CQ*-ternary homomorphism; proper CQ*-ternary derivation; Cauchy functional equation; Hyers-Ulam stability
- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.7, no.4, pp.278 - 287
- Indexed
- SCIE
- Journal Title
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Volume
- 7
- Number
- 4
- Start Page
- 278
- End Page
- 287
- ISSN
- 2008-1898
- Abstract
- In this paper, modifying the construction of a C*-ternary algebra from a given C*-algebra, we define a proper CQ*-ternary algebra from a given proper CQ*-algebra. We investigate homomorphisms in proper CQ*-ternary algebras and derivations on proper CQ*-ternary algebras associated with the Cauchy functional inequality parallel to f(x) + f(y) + f(z)parallel to <= parallel to f(x + y + z)parallel to. We moreover prove the Hyers-Ulam stability of homomorphisms in proper CQ*-ternary algebras and of derivations on proper CQ*-ternary algebras associated with the Cauchy functional equation f(x + y + z) = f(x) + f(y) + f(z). (C)2014 All rights reserved.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)