摘要
引入了由非紧距离空间(X,d)到一般Banach空间Z上的有界Lipschitz-α算子及相应的算子空间,证明了算子空间LαB(X,Z)和L0α(X,Z)分别关于某些范数构成Banach空间,并证明了在一定条件下Banach空间LαB(X,Z)等距同构到某一Banach空间L0α(Y,Z).
Bounded Lipschitz-α Operators from ( X, d ) into Z and relative operator spaces are introduced. It is proved that LB^α(X,Z) and L0^α(X, Z) are Banach spaces with respect to some norms respectively. It is also shown that L0^α(X,Z) is isometricly isomorphic to some LB^α(Y,Z) under certain conditions.
出处
《西安文理学院学报(自然科学版)》
2005年第3期33-36,共4页
Journal of Xi’an University(Natural Science Edition)
基金
国家自然科学基金资助项目(19771056)
陕西省自然科学研究计划资助项目(2002A02)