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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2025 Volume 14(32), Issue 3, Pages 76–98 (Mi pa433)

Weaving g-fusion frames in Hilbert spaces

Gh. Rahimloua, V. Sadria, R. Ahmadib

a Department of Basic Sciences Technical and Vocational University (TVU), Tehran, Iran 1435761137, No. 4, East Brazil St., Vanak Sq., Tehran, Iran
b Faculty of Mathematical science, University of Tabriz, 5166616471, 29 Bahman Blvd.,Tabriz, Iran

Abstract: Fusion frames, one of the important frame extensions, introduced by Casazza and Kutyniok, Bemros et al. are able to transform the except of weaving from Gabor frames to frame theory; thus weaving frames. In this paper, we generalize the weaving fusion frames and study them from the viewpoint of the finite and infinite dimensional Hilbert spaces. Also, we introduce weakly g-fusion woven frame and show that they are equivalent with the weaving g-fusion frames.

Keywords: Hilbert spaces, g-fusion frame, woven frames, gf-Riesz sequence.

UDC: 517.521, 517.98

MSC: Primary 46B15; Secondary 46A35, 42C15

Received: 09.04.2025
Revised: 11.08.2025
Accepted: 17.08.2025

Language: English

DOI: 10.15393/j3.art.2025.17970



© Steklov Math. Inst. of RAS, 2026