Hilbert空间中广义框架的稳定性

A Stability Theorem of Generalized Frames in a Hilbert Space

本文研究了可分的Hilbert空间H中的广义框架 ,证明了关于广义框架的稳定性定理。

In the paper, we introduce the Generalized Frame in a separable Hilbert space H. Using Operator-theoretic-methods, we prove a A Stability Theorem for Generalize d Frames. Our result is a generalization of a classical result of O.Christrnsen about discrete frames.