Approximation of linear mappings in Banach modules over C∗-algebras

被引:0
作者
Choonkil Park
Yeol Je Cho
Reza Saadati
机构
[1] Research Institute for Natural Sciences,Department of Mathematics
[2] Hanyang University,Department of Mathematics Education and RINS
[3] Gyeongsang National University,Department of Mathematics and Computer Science
[4] Iran University of Science and Technology,undefined
关键词
fixed point; Hyers-Ulam stability; super-stability; generalized Euler-Lagrange type additive mapping; homomorphism; -algebra;
D O I
暂无
中图分类号
学科分类号
摘要
Let X, Y be Banach modules over a C∗-algebra and let r1,…,rn∈R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C∗-algebra:
引用
收藏
相关论文
共 50 条
[11]   Nadler mappings in cone b-metric spaces over Banach algebras [J].
Ozavsar, Muttalip .
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2019, 141 :185-194
[12]   Generalized additive mapping in Banach modules and isomorphisms between C*-algebras [J].
Baak, C ;
Boo, DH ;
Rassias, TM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (01) :150-161
[13]   ORTHOGONAL STABILITY OF AN ADDITIVE FUNCTIONAL EQUATION IN BANACH MODULES OVER A C*-ALGEBRA [J].
Kenary, Hassan Azadi ;
Park, Choonkil ;
Shin, Dong Yun .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (06) :1057-1068
[14]   CAUCHY-RASSIAS STABILITY OF LINEAR MAPPINGS IN BANACH MODULES ASSOCIATED WITH A GENERALIZED JENSEN TYPE MAPPING [J].
Park, C. -G. ;
Song, J. H. .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) :143-162
[15]   Twistors for modules over algebras [J].
SUN Jian Cai .
ScienceChina(Mathematics), 2016, 59 (07) :1327-1344
[16]   Twistors for modules over algebras [J].
Sun JianCai .
SCIENCE CHINA-MATHEMATICS, 2016, 59 (07) :1327-1344
[17]   Approximation of derivations and the superstability in random Banach -algebras [J].
Saadati, Reza ;
Park, Choonkil .
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[18]   Approximation of derivations and the superstability in random Banach ∗-algebras [J].
Reza Saadati ;
Choonkil Park .
Advances in Difference Equations, 2018
[19]   Twistors for modules over algebras [J].
JianCai Sun .
Science China Mathematics, 2016, 59 :1327-1344
[20]   VISCOSITY APPROXIMATION METHODS FOR MULTIVALUED MAPPINGS IN BANACH SPACES [J].
Cui, Yunan ;
Fei, Zuo Zhan ;
Hudzik, Henryk .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (11) :1288-1303