FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS

被引：0

作者：

Boo, Deok-Hoon ^{[1
]}

Kenary, Hassan Azadi ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 75914353, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2011年 / 19卷 / 01期

关键词：

unitary group; partitioned functional equation; approximate algebra homomorphism; Banach module over C*-algebra; stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

引用

页码：33 / 52

页数：20

共 50 条

[41] Systems of trigonometric functional equations in Banach algebras
Fechner, Zywilla
[J]. AEQUATIONES MATHEMATICAE, 2009, 77 (1-2) : 187 - 195
[42] A system of biadditive functional equations in Banach algebras
Sayyari, Yamin
Dehghanian, Mehdi
Park, Choonkil
[J]. APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2023, 31 (01):
[43] APPROXIMATE AMENABILITY FOR BANACH MODULES
Anousheh, Fatemeh
Bagha, Davood Ebrahimi
Bodaghi, Abasalt
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (02): : 79 - 90
[44] Approximate amenability for banach modules
[J]. Bagha, Davood Ebrahimi (debrahimibagha@gmail.com), 1600, Politechnica University of Bucharest (78):
[45] φ-APPROXIMATE BIPROJECTIVE AND (φ,ψ)- BANACH ALGEBRAS
Ghorbani, Z.
Baradaran, J.
[J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 363 - 377
[46] Approximate cohomology in Banach algebras
Pourabbas, A.
Shirinkalam, A.
[J]. QUAESTIONES MATHEMATICAE, 2017, 40 (01) : 107 - 118
[47] FIBER SEPARATION AND CONTINUITY OF BANACH ALGEBRA HOMOMORPHISMS
KANTROWITZ, R
[J]. ARCHIV DER MATHEMATIK, 1994, 63 (03) : 258 - 263
[48] Ultrapowers of Banach algebras and modules
Daws, Matthew
[J]. GLASGOW MATHEMATICAL JOURNAL, 2008, 50 : 539 - 555
[49] NORM OF COMPLEX HOMOMORPHISMS ON A COMMUTATIVE BANACH ALGEBRA
WONG, CS
RAINWATE.J
[J]. AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (09): : 1148 - &
[50] Quadratic functionals on modules over complex Banach *-algebras with an approximate identity
Ilisevic, D
[J]. STUDIA MATHEMATICA, 2005, 171 (02) : 103 - 123

← 1 2 3 4 5 →