Results 11 to 20 of about 660,488 (250)
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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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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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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Similar generalized frames [PDF]
Sahand Communications in Mathematical Analysis, 2018 Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each ...
Azadeh Alijani
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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
Проблемы анализа, 2020 G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
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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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Controlled g-frames and dual g-frames in Hilbert spaces
Journal of Inequalities and Applications, 2022 Abstract This paper addresses controlled g-frames which are extensions of g-frames and controlled frames. Firstly, we discuss the characterization of controlled g-frames, obtain some equivalent conditions of them. Then, we introduce the concept of controlled dual g-frames and controlled dual g-frames operator, get some properties of them ...
Hui-Min Liu, Yan-Ling Fu, Yu Tian
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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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Characterizations of (near) exact g-frames, g-Riesz bases, and Besselian g-frames
International Journal of Wavelets, Multiresolution and Information Processing, 2019 In this paper, we use a new general sequence corresponding to a [Formula: see text]-Bessel sequence [Formula: see text] to characterize that [Formula: see text] are [Formula: see text]-linear independent, [Formula: see text]-complete and a [Formula: see text]-frame. We also use [Formula: see text] and the refinement [Formula: see text] to characterize
Xiang-Chun Xiao +2 more
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Characterization and stability of approximately dual g-frames in Hilbert spaces
Journal of Inequalities and Applications, 2018 This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames.
Yan-Ling Fu, Wei Zhang
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