Invariance of Fréchet Frames under Perturbation

Abstract

Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fréchet frames under perturbation. Also we show that for any Fréchet spaces, there is a Fréchet frame and any element has a series expansion.

10 pages

References in corpus (1)

• Series expansions in Fréchet spaces and their duals; construction of Fréchet frames