Results 11 to 20 of about 450 (171)
$G$-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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Quantum Injectivity of Frames in Quaternionic Hilbert Spaces
MathematicsA quantum injective frame is a frame capable of differentiating states based on their respective frame measurements, whereas the quantum-detection problem associated with frames endeavors to delineate all such frames. In the present paper, the concept of
Zhenheng Xu +3 more
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Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space [PDF]
Journal of Function Spaces, 2017 We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the ...
Yong Liu
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K-bi-g-frames in Hilbert spaces [PDF]
Journal of Algebraic SystemsThe notion of K-frames generalizes ordinary frames in that the lower frame bound applies only to elements within the range of K. This paper will introduce the new concept of K-bi-g-frames for Hilbert spaces.
Mohamed Rossafi, Abdelilah Karara
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Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces [PDF]
Journal of Function Spaces and Applications, 2013 The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
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Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces
Journal of Function Spaces and Applications, 2013 Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators.
Xunxiang Guo
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Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications [PDF]
Surveys in Mathematics and its Applications, 2006 In this survey we recall the results obtained in [Ungureanu,Electronic Journal of Qualitative Theory of Differential Equations, 2004] where we gave a representation theorem for the solutions of stochastic differential equations in Hilbert spaces.
Viorica Mariela Ungureanu
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Some New Characterizations of Intrinsic Transversality in Hilbert Spaces [PDF]
, 2020 Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in
Nguyen, Duy Cuong (author) +10 more
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Bloch type spaces on the unit ball of a Hilbert space [PDF]
, 2019 summary:We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch ...
Xu, Zhenghua
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A characterization of Hilbert space [PDF]
Proceedings of the American Mathematical Society, 1974 A real Banach space E of dimension _3 is an inner product space iff there exists a bounded smooth convex subset of E which is the range of a nonexpansive retraction. De Figueiredo and Karlovitz [3] have shown that if E is a strictly convex real finite-dimensional Banach space and dim E> 3 then there can exist no bounded smooth nonexpansive retract of E
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