Results 21 to 30 of about 19,610 (266)
On the Hilbert Space in Quantum Gravity
Universe, 2022 This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation.
Ednardo Paulo Spaniol +2 more
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TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT
Barekeng, 2011 Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation theorem.
Mozart W. Talakua, Stenly J. Nanuru
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Topological transitivity of translation operators in a non-separable Hilbert space
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
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Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is ...
Jawad Kadhim Khalaf Al-Delfi
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On the quantumness of a Hilbert space [PDF]
Quantum Information and Computation, 2004 We derive an exact expression for the quantumness of a Hilbert space (defined in C.A. Fuchs and M. Sasaki, Quant. Info. Comp. {\bf 3}, 377 (2003)), and show that in composite Hilbert spaces the signal states must contain at least some entangled states in order to achieve such a sensitivity.
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The Characterization and Stability of g-Riesz Frames for Super Hilbert Space
Journal of Function Spaces, 2015 G-frames and g-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years. The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics.
Dingli Hua, Yongdong Huang
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Tomography in Abstract Hilbert Spaces [PDF]
Open Systems & Information Dynamics, 2006 The tomographic description of a quantum state is formulated in an abstract infinite-dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product. Resolutions of the unity, written in terms of over-complete sets of rank-one projectors and of associated Gram-Schmidt operators taking into ...
Vladimir I. Man'ko +3 more
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Hilbert space of wormholes [PDF]
Physical Review D, 1993 Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner product being naturally induced by the ...
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Testing the Dimension of Hilbert Spaces [PDF]
Physical Review Letters, 2008 Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describe such correlations? We introduce the concept of dimension witness to put lower bounds on d.
Brunner, N. +5 more
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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