Results 1 to 10 of about 50,648 (120)
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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Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $.
Hatim Labrigui, Samir Kabbaj
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On Frames in Hilbert Modules Over Locally C∗-Algebras
International Journal of Analysis and Applications, 2023 Frame is a fundamental notion in the study of vector spaces; they offer redundancy and flexibility, which favor their application in various fields of mathematics. This article aims to collect important results of frames in Hibert pro-C∗-modules: Frame, ∗
Roumaissae El Jazzar, Rossafi Mohamed
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∗-K-Operator Frame for Hom∗A(X)
European Journal of Mathematical Analysis, 2021 In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator.
Mohamed Rossafi +2 more
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Duals of Some Constructed $*$-Frames by Equivalent $*$-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator.
Azadeh Alijani
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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 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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B-Gabor type frames in separable Hilbert spaces
Ratio Mathematica, 2023 It is guaranteed that Gabor like structured frames do exist in any finite dimensional Hilbert space via an invertible map from l2(ZN) J Thomas and Nambudiri [2022].
Thomas Jineesh +2 more
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Spectrum of J-frame operators [PDF]
Opuscula Mathematica, 2018 A \(J\)-frame is a frame \(\mathcal{F}\) for a Krein space \((\mathcal{H},[\cdot,\cdot ])\) which is compatible with the indefinite inner product \([\cdot,\cdot ]\) in the sense that it induces an indefinite reconstruction formula that resembles those ...
Juan Giribet +5 more
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