B(X)上完全保立方幂等的映射  

Maps completely preserving tripotence on B(X)

作　　者：齐静[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《宝鸡文理学院学报（自然科学版）》2009年第3期18-22,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的设X表示实数域R或复数域C上的Banach空间,研究实或复Banach代数B(X)上双边完全保立方幂等元的满射的具体形式。方法利用矩阵运算的理论,根据幂等的定义及相关性质推导。结果严格地证明了双边完全保立方幂等元的满射是B(X)上的同构。结论推广了完全保持问题的相关结果。Aim Let X be the real or complex Banach space.To discuss the concrete forms of surjective maps on B（X） which completely preserving tripotency in both directions.Methods The theory of matrix operation is used to investigate the forms of surjective maps which completely preserving tripotency in both directions.Results It had been completely proved that these maps are isomorphisms.Conclusion The relevant publication results of completely preserving problem are extended.

关 键 词：BANACH空间 立方幂等 幂等 

分 类 号：O177.1[理学—数学]