Frame and g-frame in Hilbert spaces

Abstract : In this paper, we investigate frames and g-frames and show that constructs the direct sum of frames for a finite number of frames. also, We show under what condition it becomes g-frames to T *−g-frames. Finally, we generalize Sun ’s theorem to Parseval frames.

Bibliographic Details
Main Authors: Amir Khosravi, Mohammad Reza Farmani
Format: Article
Language:English
Published: Qom University of Technology 2022-02-01
Series:Mathematics and Computational Sciences
Subjects:
Online Access:https://mcs.qut.ac.ir/article_249454_fad8410bbe5f870fcd33ac85418e980f.pdf
Description
Summary:Abstract : In this paper, we investigate frames and g-frames and show that constructs the direct sum of frames for a finite number of frames. also, We show under what condition it becomes g-frames to T *−g-frames. Finally, we generalize Sun ’s theorem to Parseval frames.
ISSN:2717-2708