Constructions of weaving continuous g-frames for operators in Hilbert spaces

E. Alizadeh^a, V. Sadri<sup>b

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

Abstract: In this paper, we introduce the concept of weaving continuous K-g-frames in Hilbert spaces, which are the generalization of weaving K-g-frames and weaving c-g-frames. We prove some new results for these frames, focusing on the constructions of c-K-g-woven frames for Hilbert spaces by certain operators with specific properties. Finally, we verify a Paley-Wiener type perturbation of these frames.

Keywords: c-K-g-frame, continuous weaving frame, c-K-g-woven frames.

UDC: 517.98

MSC: Primary 42C15; Secondary 42C40, 41A58

Received: 05.11.2020
Revised: 18.02.2021
Accepted: 20.02.2021

Language: English

DOI: 10.15393/j3.art.2021.9310

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