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ЖУРНАЛЫ // Проблемы анализа — Issues of Analysis // Архив

Пробл. анал. Issues Anal., 2021, том 10(28), выпуск 2, страницы 3–17 (Mi pa320)

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

Аннотация: 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.

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

УДК: 517.98

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

Поступила в редакцию: 05.11.2020
Исправленный вариант: 18.02.2021
Принята в печать: 20.02.2021

Язык публикации: английский

DOI: 10.15393/j3.art.2021.9310



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