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 a...
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https://www.riss.kr/link?id=A103366474
2011
English
KCI등재,SCIE,SCOPUS
학술저널
853-871(19쪽)
8
0
상세조회0
다운로드다국어 초록 (Multilingual 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 a...
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 (Reference)
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1 J. M. Rassias, "The problem of S. M. Ulam for approximately multiplicative mappings" 246 (246): 352-378, 2000
2 F. Bagarello, "States and representations of CQ*-algebras" 61 (61): 103-133, 1994
3 S. Czerwik, "Stability of Functional Equations of Ulam-Hyers-Rassias Type" Hadronic Press 2003
4 D. H. Hyers, "Stability of Functional Equations in Several Variables" Birkhauser 1998
5 C. Trapani, "Some seminorms on quasi-*-algebras" 158 (158): 99-115, 2003
6 F. Bagarello, "Some classes of topological quasi *-algebras" 129 (129): 2973-2980, 2001
7 J. M. Rassias, "Solution of a problem of Ulam" 57 (57): 268-273, 1989
8 C. Trapani, "Quasi-*-algebras of operators and their applications" 7 (7): 1303-1332, 1995
9 F. Skof, "Propriet a localie approssimazione di operatori" 53 : 113-129, 1983
10 S. M. Ulam, "Problems in Modern Mathematics" Wiley 1960
11 J. M. Rassias, "Problem 16; 2, Report of the 27th International Symp. on Functional Equations" 39 : 292-293, 1990
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학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.35 | 0.1 | 0.27 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.2 | 0.339 | 0.04 |