Invariance of Fréchet frames under perturbation

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

Bibliographic Details
Main Author: Asghar Rahimi
Format: Article
Language:English
Published: University of Maragheh 2014-02-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_11265_1863.html