Homomorphisms in quasi-Banach algebras associated with a Pexiderized Cauchy-Jensen functional equation

被引：9

作者：

Najati, Abbas ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Fac Sci, Ardebil, Iran

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 09期

关键词：

Cauchy additive mapping; Jensen additive mapping; homomorphisms in quasi-Banach algebras; generalized Hyers-Ulam stability; p-Banach algebra; C-ASTERISK-ALGEBRAS; ULAM-RASSIAS STABILITY; APPROXIMATELY ADDITIVE MAPPINGS; LINEAR MAPPINGS; SPACES; ISOMORPHISMS; MODULES;

D O I：

10.1007/s10114-009-7648-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the generalized Hyers-Ulam stability of homomorphisms in quasi-Banach algebras associated with the following Pexiderized Jensen functional equation [GRAPHICS] This is applied to investigating homomorphisms between quasi-Banach algebras. The concept of the generalized Hyers-Ulam stability originated from Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72, 297-300 (1978).

引用

页码：1529 / 1542

页数：14

共 47 条

[1] Homomorphisms in Quasi-Banach Algebras Associated with a Pexiderized Cauchy-Jensen Functional Equation
Abbas NAJATI
Acta Mathematica Sinica(English Series), 2009, 25 (09) : 1529 - 1542
[2] Homomorphisms in quasi-Banach algebras associated with a Pexiderized Cauchy-Jensen functional equation
Abbas Najati
Acta Mathematica Sinica, English Series, 2009, 25 : 1529 - 1542
[3] Stability of a Cauchy-Jensen Functional Equation in Quasi-Banach Spaces
Bae, Jae-Hyeong
Park, Won-Gil
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[4] Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
Najati, Abbas
Park, Choonkil
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 763 - 778
[5] APPROXIMATION OF GENERALIZED HOMOMORPHISMS IN QUASI-BANACH ALGEBRAS
Gordji, M. Eshaghi
Savadkouhi, M. Bavand
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (02): : 203 - 213
[6] Fixed points and stability of the Cauchy-Jensen functional equation in fuzzy Banach algebras
Lee, Jung Rye
Lee, Sung Jin
Park, Choonkil
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (04) : 692 - 698
[7] CAUCHY-JENSEN FUNCTIONAL INEQUALITY IN BANACH SPACES AND NON-ARCHIMEDEAN BANACH SPACES
Chang, Ick-Soon
Gordji, M. Eshaghi
Kim, Hark-Mahn
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (07) : 1237 - 1247
[8] STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE FUNCTIONAL EQUATION
Ebadian, Ali
Nikoufar, Ismail
Rassias, Themistocles M.
Ghobadipour, Norouz
ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 1226 - 1238
[9] Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on C*-ternary algebras
Najati, Abbas
Ranjbari, Asghar
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 62 - 79
[10] Approximation of the generalized Cauchy-Jensen functional equation in C*-algebras
Kaskasem, Prondanai
Klin-eam, Chakkrid
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

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