C^*-代数上的Jordan*-同态的刻画
Characterizations of Jordan * - Homomorphism on C^* - algebra
摘要
设A是一个含单位元e的C*-代数,引进了Jordan*-同态的概念,刻画了C*-代数上的Jordan*-同态的特征性质.
Let A is be a unital C^* - algebra unit e, the concept of Jordan * - Homomorphism is introduced. The properties of Jordan * - Homomorphism on C^* - algebra is characterized.
出处
《西安文理学院学报(自然科学版)》
2010年第1期29-32,共4页
Journal of Xi’an University(Natural Science Edition)
参考文献5
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1ULAM S M. Problems in Modem Mathematics[ M ]. Science Editions, Wiley, New York, 1964.
-
2HYERS D H. On the stability of the linear functional equation[J]. Proc. Natl. Acad. sci. USA. 1941, 27:222 -224.
-
3RASSIAS TH M. On the stability of the linear mapping in Banach spaces[ J]. proc. Amer. Math. Soc. 1978, 72:297 - 300.
-
4孙亮吉.广义Jordan-导子和Jordan-同态的稳定性的刻画[J].山东大学学报(理学版),2008,43(12):77-79. 被引量:3
-
5PARK C, BOO D - H. Homomorphisms between C ' - algebras - algebras and linear derivations on C* - algebra - algebras[ J]. J. Math. Anal. Appl. 2008, 337 : 1415 - 1424.
二级参考文献5
-
1ULAM S M. Problems in modern mathematics[M]. New York: Science Editions, 1964.
-
2HYERS D H. On the stability of the linear functional equation[J]. Proc Natl Acad Sci, 1941(27):222-224.
-
3RASSIAS TH M. On the stability of the linear mapping in Banach spaces[J]. Proceedings of the American Mathematical Society, 1978 (72) :297-300.
-
4KOMINEK Z. On a local stability of the Jensen functional equation[J]. Demonstratio Math, 1989(22) :499-507.
-
5AMYARI M, RAHBARNIA F, SADEGHI Gh. Some results on stability of extended derivations[J]. Journal of Mathematical Analysis and Applications, 2007(329) : 753-758.