Results 11 to 20 of about 282,423 (243)
CONSTRUCTIONS OF WEAVING CONTINUOUSG-FRAMES FOR OPERATORS IN HILBERT SPACES
Проблемы анализа, 2021 In this paper, we introduce the concept of weavingcontinuous K-g-frames in Hilbert spaces, which are the generali-zation of weaving K-g-frames and weaving c-g-frames.
E. Alizadeh, V. Sadri
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Journal of Mathematical Analysis and Applications, 2008 The authors study generalized, i.e., \(g\)-frames in a Hilbert space \(U\), that is, sequences \((\Lambda_i)_{i\in I}\) of linear operators \(\Lambda_i:U\to V_i\) such that \[ A\| f\| ^2 \leq \sum_{i\in I} \| \Lambda_i f\| ^2 \leq B \| f\| ^2, \] for some positive constants \(A\) and \(B\).
Amir Khosravi
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Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert -Modules [PDF]
Journal of Applied Mathematics, 2013 We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert -modules, and then we study the equivalency relations between continuous g-frames in Hilbert -modules, and, in particular, we obtain ...
Zhong-Qi Xiang
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$G$-Frames for operators in Hilbert spaces [PDF]
Sahand Communications in Mathematical Analysis, 2017 $K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space.
Bahram Dastourian, Mohammad Janfada
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Some results about g-frames in Hilbert spaces [PDF]
MATEC Web of Conferences, 2022 The concept of g-frame is a natural extension of the frame. This article mainly discusses the relationship between some special bounded linear operators and g-frames, and characterizes the properties of g-frames.
Luo Lan, Leng Jingsong, Xie Tingting
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Woven g-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces.
Maryam Mohammadrezaee +3 more
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Frame and g-frame in Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2022 : In this paper, we investigate frames and g-frames and show that constructs the direct sum of frames for a finite number of frames. also, We show under what condition it becomes g-frames to T *−g-frames. Finally, we generalize Sun ’s theorem to Parseval
Amir Khosravi, Mohammad Reza Farmani
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Duals of g-frames and g-frame sequences [PDF]
International Mathematical Forum, 2013 In this paper we study duals of g-frames and g-frame sequences. We define oblique dual g-frames and characterize these kind of duals. Also, we introduce Type I and Type IIduals for g-frame sequences and verify some properties of them. Then, we state some conditions for existence of these duals.
M. Madadian, M. Rahmani
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Properties of bounded representations for G-frames [PDF]
Journal of Pseudo-Differential Operators and Applications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Najati, A. +3 more
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Scalable g-frame in Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2023 Tight frames and g-frames are extremely useful in applications. A scalable frame was recentlyintroduced as a frame with the property of generating a tight frame by rescaling its frame vectors.
Amir Khosravi, Mohammad Reza Farmani
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