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C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS

Title
C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS
Author
박춘길
Keywords
Apollonius type additive functional equation; C*-ternary homomorphism; C*-ternary derivation; JB*-triple homomorphism; JB*-triple derivation; fixed point
Issue Date
2013-04
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Citation
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, April 2013, 10(4)
Abstract
Park and Rassias proved the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations, associated with the following Apollonius type additive functional equation f(z - x) + f(z - y) = - 1/2 f(x + y) + 2f (z - x + y/4) by using direct method. Under the conditions of the theorems, we can show that the mappings f must be zero. In this paper, we correct the conditions. Furthermore, we prove the superstability of C*-ternary homomorphisms, C*-ternary derivations, JB*-triple homomorphisms and JB*-triple derivations by using fixed point method.
URI
https://www.worldscientific.com/doi/abs/10.1142/S0219887813200016http://repository.hanyang.ac.kr/handle/20.500.11754/73109
ISSN
0219-8878; 1793-6977
DOI
10.1142/S0219887813200016
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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