| Approximate （m,n）-Cauchy-Jensen Additive Mappings in C^＊-algebras |
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| 作者姓名： | John Michael RASSIAS Kil Woung JUN Hark-Mahn KIM |
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| 作者单位： | [1]Pedagogical Department E. E., Section of Mathematics and Informaties, National and Capodistrian University of Athens, 4, Agamemnonos St., Aghia Paraskevi, Athens, 15342, Greece [2]Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305-764, Korea |
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| 基金项目： | This work was supported by Basic Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology （Grant No. 2010-0015749） |
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| 摘 要： |
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| 关 键 词： | 映射定理 添加剂 柯西 代数 稳定性问题 函数方程 |
Approximate (<Emphasis Type="Italic">m,n</Emphasis>)-Cauchy-Jensen additive mappings in <Emphasis Type="Italic">C*</Emphasis>-algebras |
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| John Michael RASSIAS,Kil Woung,JUN Hark-Mahn KIM.Approximate (m,n)-Cauchy-Jensen additive mappings in C*-algebras[J].Acta Mathematica Sinica,2011,27(10):1907-1922. |
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| Authors: | John Michael Rassias Kil Woung Jun Hark-Mahn Kim |
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| Institution: | 1.Pedagogical Department E. E., Section of Mathematics and Informatics,National and Capodistrian University of Athens,Aghia Paraskevi, Athens,Greece;2.Department of Mathematics,Chungnam National University,Daejeon,Korea |
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| Abstract: | Concerning the stability problem of functional equations, we introduce a general (m, n)-Cauchy-Jensen functional equation and establish new theorems about the Hyers-Ulam stability of general (m, n)-Cauchy-Jensen additive mappings in C*-algebras, which generalize the results obtained for Cauchy-Jensen type additive mappings. |
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| Keywords: | Generalized Hyers Ulam stability （m n）-Cauchy-Jensen mappings unitary group C^＊- algebra isomorphisms derivations |
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