Some identities and inequalities for g-fusion frames

R. Zarghami Farfar^a, V. Sadri^b, R. Ahmadi<sup>a

a</sup> University of Tabriz, Iran
^b Department of Mathematics, Faculty of Tabriz Branch, Technical and Vocational University (TVU), East Azarbaijan, Iran

Abstract: G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for g-frames, which was given by Najati for a special case. Also, by using the idea of this identity and the dual frames, some equalities and inequalities are presented for g-fusion frames.

Keywords: g-frame, dual g-frame, g-fusion frame, dual g-fusion frame.

UDC: 517.98, 517.521

MSC: Primary 42C15; Secondary 46C99, 41A58

Received: 27.05.2019
Revised: 29.11.2019
Accepted: 11.02.2020

Language: English

DOI: 10.15393/j3.art.2020.6332