吉林大学学报（理学版）2011，Vol.49Issue(3)：397-404,8.
Banach空间中P阶Bessel列的扰动
Perturbations of Bessel Sequences of Order p in a Banach Space
摘要
Abstract
With the aid of operator theory, some perturbations of Bessel sequences of order p in a Banach space X were discussed. For a Bessel sequence f = {fi} i∈I of order p in X, we defined a bounded linear operator Tf from X* into lp and established a linear isometry isomorphism a from the space BpX (I) of all the Bessel sequences of order p in a Banach space X into the operator space B(X*,lp) defined by α(f) = Tr. In the light of operator theory, some results on perturbations of Bessel sequences of order p were given, which are helpful to the study of frames of order p for a Banach space.关键词
扰动/p阶Bessel列/Banach空间Key words
perturbation/ Bessel sequence of order p/ Banach space分类
数理科学引用本文复制引用
王秋芬,曹怀信,武海辉..Banach空间中P阶Bessel列的扰动[J].吉林大学学报（理学版）,2011,49(3):397-404,8.基金项目
国家自然科学基金(批准号:10571113 （）
10871224)和陕西省自然科学研究计划项目(批准号:2009JM1011). （批准号:2009JM1011）
