ERRATUM: “ A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS ” [J. MATH. PHYS. 51, 103508 (2010)]

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2016, v.23 no.3, pp.237-246

https://doi.org/10.7468/jksmeb.2016.23.3.237

YUN, SUNGSIK (DEPARTMENT OF FINANCIAL MATHEMATICS, HANSHIN UNIVERSITY)
GORDJI, MADJID ESHAGHI (DEPARTMENT OF MATHEMATICS, SEMNAN UNIVERSITY)
SEO, JEONG PIL (OHSANG HIGH SCHOOL)

YUN, SUNGSIK, GORDJI, MADJID ESHAGHI, & SEO, JEONG PIL. (2016). ERRATUM: “A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS” [J. MATH. PHYS. 51, 103508 (2010)]. 한국수학교육학회지시리즈B:순수및응용수학, 23(3), 237-246, https://doi.org/10.7468/jksmeb.2016.23.3.237

복사

Abstract

Ebadian et al. proved the Hyers-Ulam stability of bimultipliers and Jordan bimultipliers in C*-ternary algebras by using the fixed point method. Under the conditions in the main theorems for bimultipliers, we can show that the related mappings must be zero. Moreover, there are some mathematical errors in the statements and the proofs of the results. In this paper, we correct the statements and the proofs of the results, and prove the corrected theorems by using the direct method.

keywords: Hyers-Ulam stability, bi-additive mapping, C*-ternary algebra, bimultiplier, Jordan bimultiplier

바로가기메뉴

논문 상세

Vol.23 No.3

ERRATUM: &#x201C;A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS&#x201D; [J. MATH. PHYS. 51, 103508 (2010)]

ERRATUM: “ A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS ” [J. MATH. PHYS. 51, 103508 (2010)]

Abstract

한국수학교육학회지시리즈B:순수및응용수학

ERRATUM: “A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS” [J. MATH. PHYS. 51, 103508 (2010)]