Jordan(α,β)导子的广义Hyers-Ulam-Rassias稳定性
GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF JORDAN (α, β) DERIVATIONS
摘要
本文研究了Jordan(α,β)-导子的稳定性.利用广义Jensen等式证明了其具有广义Hyers-Ulam-Rassias稳定性.
In this paper, we study the stability of Jordan （α, β） derivations. By using the the generalized Jensen equation, we obtain the generalized Hyers-Ulam-Rassias stability of Jordan （α, β） derivations.
出处
《数学杂志》
CSCD
北大核心
2013年第2期268-274,共7页
Journal of Mathematics
参考文献12
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1Ulam S M. Problems in mordern mathematics[M]. New York: Wiley, 1964.
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2Hyers D H. On the stability of the linear functional equation[J]. Proc. Natl. Acad. Sci., 1941, 27: 222-224.
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3Rassias Th M. On the stability of the linear mapping in Banach spaces[J]. Proc. Amer. Math. Soc., 1978, 72:297 300.
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4G(vruta P. A generalization of the Hyers-Ulam-Rassias stability of approximately additive map- pings[J]. J. Math. Anal. Appl., 1994, 184: 431-436.
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5Kominek Z. On a local stability of the Jensen functional equation[J]. Demonstratio Math., 1989, 22: 499-507.
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6Miura T, Hirasawa G, Takahasi S-E. A perturbation of ring derivations on Banach algebras[J]. J. Math. Anal Appl., 2006, 319: 522-530.
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7Moslehian M S. Hyers-Ulam-Rassias stability of generalized derivations[J]. Internat J. Math. Sci., 2006, 93: 1-8.
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8Amyari M, Rahbarnia F, Sadeghi Gh. Some results on stability of extended derivations[J]. J. Math. Anal. Appl., 2007, 329: 753-758.
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9Baak C, Moslehian M S. On the stability of 0-derivations on JB*-triples[J]. Bull. Braz. Math. Soc., 2007, 38(1): 115-127.
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10王琳,董力强.标准算子代数上的和导子有关的函数方程的Hyers-Ulam-Rassias稳定性[J].数学学报（中文版）,2010,53(3):563-570. 被引量：3
二级参考文献22
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1Ulam S. M., Problems in Mordern Mathematics, New York: Wiley, Science Editions, 1964 (Chapter VI).
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2Hyers D. H., On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U.S.A., 1941, 27: 222-224.
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3Rassias Th. M., On the stability of the linear mapping in Banach sp-ces, Proc. Amer. Math. Soc., 1978, 72(2): 297-300.
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4Gavruta P., A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., 1994, 184: 431-436.
-
5Kominek Z., On a local stability of the Jensen functional equation, Demonstratio Math., 1989, 22: 499-507.
-
6Miura T., Hirasawa G., Takahasi S. E., A perturbation of ring derivations on Banach algebras, J. Math. Anal. Appl., 2006, 319: 522-530.
-
7Moslehian M. S., Hyers-Ulam-Rassias stability of generalized derivations, Internat J. Math. Sci., 2006, 93(1): 1-8.
-
8Amyari M., Rahbarnia F., Sadeghi Gh., Some results on stability of extended derivations, J. Math. Anal. Appl., 2007, 329:753 -758.
-
9Baak C., Moslehian M. S., On the stability of θ-derivations on JB^*-triples, Bull. Braz Math. Soc., 2007, 38(1): 115-127.
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10Park C., Linear derivations on Banach algebras, Nonlinear Funct. Anal. Appl., 2004, 9: 359-368.
