|
Constructions of weaving continuous g-frames for operators in Hilbert spaces
E. Alizadeha, V. Sadrib a 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.
Received: 05.11.2020 Revised: 18.02.2021 Accepted: 20.02.2021
Citation:
E. Alizadeh, V. Sadri, “Constructions of weaving continuous g-frames for operators in Hilbert spaces”, Probl. Anal. Issues Anal., 10(28):2 (2021), 3–17
Linking options:
https://www.mathnet.ru/eng/pa320 https://www.mathnet.ru/eng/pa/v28/i2/p3
|
Statistics & downloads: |
Abstract page: | 118 | Full-text PDF : | 183 | References: | 24 |
|