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Stability of an additive functional inequality in proper CQ^*-algebras

신동윤|이정례|박춘길
대한수학회 (The Korean Mathematical Society)|2011.07|대한수학회보 (Bulletin of the KMS)|제48권 제4호|pp. 853-871

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참고문헌

키워드

derivationHyers-Ulam-Rassias stabilityadditive functional inequalityproper CQ^*-algebrasproper CQ^*-algebra homomorphism
주제분류수학

초록

In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: (0.1) ∥f(2x)+f(2y)+f(z)∥ ≤ ∥2f(x+y+z)∥. We investigate homomorphisms in proper CQ^*-algebras and derivations on proper CQ^*-algebras associated with the additive functional inequality (0.1).

Abstract

In this paper, we prove the Hyers-Ulam-Rassias stability of the following additive functional inequality: (0.1) ∥f(2x)+f(2y)+f(z)∥ ≤ ∥2f(x+y+z)∥. We investigate homomorphisms in proper CQ^*-algebras and derivations on proper CQ^*-algebras associated with the additive functional inequality (0.1).

참고문헌 (36)

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관련 논문AI추천

Homomorphisms in Proper Lie CQ^*-algebras신동윤, 이정례강원경기수학회 · 한국수학논문집2011 · 제19권 제1호Stability of homomorphisms and derivations in proper JCQ^{*}-triples associated to the Pexiderized Cauchy type mapping박춘길, Abbas Najati, G. Zamani Eskandani대한수학회 · 대한수학회보2009 · 제46권 제1호JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS박춘길, Madjid Eshaghi Gordji, Norooz Ghobadipour대한수학회 · 대한수학회논문집2012 · 제27권 제1호ON AN ADDITIVE FUNCTIONAL INEQUALITY IN NORMED MODULES OVER A C*-ALGEBRA안종수한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제4호APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS박원길, 배재형대한수학회 · 대한수학회보2010 · 제47권 제1호Stability of derivations on proper Lie CQ^{*}-algebrasAbbas Najati, G. Zamani Eskandani대한수학회 · 대한수학회논문집2009 · 제24권 제1호

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