由算子扰动讨论框架扰动

Perturbation of frames on a Hilbert space with operator theoretic method

用算子论的方法考察了Hilbert空间上框架的扰动,依据框架与下有界算子的对应关系,给出框架之和为框架,框架与Bessel序列之和为框架的若干结果及证明.

The perturbation question on frames for a separable Hilbert space is discussed with operator theoretic method. Supposef is g frame and g is a Bessel sequence for H, we give some sufficient conditions for f± g to be frames according to the correspondence between frames and operators.