Open Journal of Mathematical Analysis
Vol. 7 (2023), Issue 2, pp. 31 – 37
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2023.0129
An Introduction to the Construction of Subfusion Frames
E. Rahimi\(^{1,*}\) and Z. Amiri\(^1\)
\(^{1}\) Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
\(^{2}\) Department of Mathematics, Vali-e-Asr University, Rafsanjan, Iran.
Copyright © 2023 E. Rahimi and Z. Amiri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: June 27, 2023 – Accepted: July 15, 2023 – Published: December 29, 2023
Abstract
Fusion frames and subfusion frames are generalizations of frames in the Hilbert spaces. In this paper, we study subfusion frames and the relations between the fusion frames and subfusion frame operators. Also, we introduce new construction of subfusion frames. In particular, we study atomic resolution of the identity on the Hilbert spaces and derive new results.
Keywords:
Fusion frames, Subfusion frames, Resolution of the identity.