APPROXIMATION OF ADJOINT OF A MULTIPLIER ON BANACH ALGEBRAS

被引：1

作者：

A.Ghaffari ^{[1
]}

S.Javadi ^{[1
]}

H.Khodaei ^{[1
]}

机构：

[1] Department of Mathematics,Semnan University,P.O.Box 35195-363,Semnan,Iran

来源：

ActaMathematicaScientia | 2012年 / 32卷 / 02期

关键词：

Additive and quadratic mappings; Arens products; Banach algebra; multiplier; stability;

D O I：

暂无

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

For a Banach algebra A,we denote by A and A the first and the second duals of A respectively.Let T be a mapping from A to itself.In this article,we will investigate some stability results concerning the equations where f,g ∈A*,a ∈A,and α,β∈Q\{0}.

引用

页码：783 / 792

页数：10

共 14 条

[1] Strongly and weakly almost periodic linear maps on semigroup algebras
Ghaffari, Ali
[J]. SEMIGROUP FORUM, 2008, 76 (01) : 95 - 106
[2] Stability Problem for Jensen-type Functional Equations of Cubic Mappings
Kil-WoungJUN
Hark-MahnKIM
[J]. ActaMathematicaSinica(EnglishSeries), 2006, 22 (06) : 1781 - 1788
[3] Stability of multipliers on Banach algebras[J] . Takeshi Miura,Go Hirasawa,Sin-Ei Takahasi.International Journal of Mathematics and Mathematical Sciences . 2004 (45)
[4] A Generalized Cubic Functional Equation[J] . P. K. Sahoo.Acta Mathematica Sinica, English Series . 2005 (5)
[5] On the stability of functional equations and a problem of Ulam
Rassias, TM
[J]. ACTA APPLICANDAE MATHEMATICAE, 2000, 62 (01) : 23 - 130
[6] On the Hyers–Ulam Stability of the Functional Equations That Have the Quadratic Property[J] . Soon-Mo Jung.Journal of Mathematical Analysis and Applications . 1998 (1)
[7] Module homomorphisms and topological centres associated with weakly sequentially complete Banach algebras
Baker, J
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 158 (01) : 186 - 208
[8] Quadratic Functional Equation and Inner Product Spaces[J] . P. L. Kannappan.Results in Mathematics . 1995 (3)
[9] ON THE BEHAVIOR OF MAPPINGS WHICH DO NOT SATISFY HYERS-ULAM STABILITY
RASSIAS, TM
SEMRL, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 114 (04) : 989 - 993
[10] Approximate homomorphisms[J] . Donald H. Hyers,Themistocles M. Rassias.Aequationes Mathematicae . 1992 (2)

← 1 2 →