摘要
研究了B(H)上的闭值域算子的扰动问题,并把结果推广到框架理论。证明了当{fi}∞i=1分别是H上的Bessel序列、框架或Riesz基,{gi}∞i=1满足一定条件时,i=1和{gi}∞i=1是一个序列,且{fi}∞{gi}∞i=1也分别是H上的Bessel序列、框架或Riesz基。
Some new results on the perturbation of closed range operators in B(H) and applications to frame theory are given.It is shown that if {f_i}~∞_(i=1) be a Bessel sequence, frame or Riesz basis, respectively, {g_i}~∞_(i=1) is a sequence, {f_i}~∞_(i=1) and {g_i}~∞_(i=1) satisfy certain conditions, then {g_i}~∞_(i=1) be a Bessel sequence,frame or Riesz basis, respectively.
出处
《宝鸡文理学院学报(自然科学版)》
CAS
2004年第2期97-100,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
国家自然科学基金资助项目(19771056)