Banach空间中X_d-Bessel列的广义扰动  

GENERALIZED PERTURBATION OF X_d-BESSEL SEQUENCE IN BANACH SPACE

作　　者：刘楠[1,2] 刘琴[1] 曹怀信[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 [2]陕西工业职业技术学院基础部,陕西咸阳712000

出　　处：《陕西科技大学学报（自然科学版）》2010年第2期141-144,共4页Journal of Shaanxi University of Science & Technology

基　　金：国家自然科学基金资助项目(No.10571113;10871224)

摘　　要：运用算子理论探讨了Banach空间中Xd-Bessel列的广义扰动,首先对Banach空间X的任一Xd-Bessel列f={fi}i∞=1做一些广义扰动,得到新序列g={gi}i∞=1,讨论了g成为Bes-sel列的条件,然后用一列有界线性算子作用于f,得到另一新的序列g={gi}i∞=1,讨论了这个新序列g成为Bessel列的条件.By the operator theory, some generalized perturbations of Bessel sequence in Banach space are discussed in this paper. At the beginning,a Bessel sequence in f={fi}∞i=1 Banach space X is perturbed to get a new sequence g={gi}∞i=1. The condition in which g be comes a Bessel sequence is discussed. Then we perturb f with a sequence of bounded linear operators to get a new sequence g={gi}∞i=1. And the condition in which g becomes a Bessel sequence is discussed.

关 键 词：Xd—Bessel列 广义扰动 有界线性算子 

分 类 号：O177.1[理学—数学]