Results 1 to 10 of about 3,908,270 (279)
ON HILBERT-SCHMIDT OPERATORS BETWEEN NON-SEPARABLE HILBERT SPACES
Al-UlumWe first study Hilbert–Schmidt operators between non-separable Hilbert spaces. We employ concepts such as summable families in normed spaces, the packet summation theorem, and Hilbert bases.
Lucien Tebua Limalo Koto +4 more
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Crossing complexity of space-filling curves reveals entanglement of S-phase DNA.
PLoS ONE, 2020 Space-filling curves have been used for decades to study the folding principles of globular proteins, compact polymers, and chromatin. Formally, space-filling curves trace a single circuit through a set of points (x,y,z); informally, they correspond to a
Nick Kinney +3 more
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Dynamics for holographic codes
Journal of High Energy Physics, 2020 We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
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Compressed Sensing in Hilbert Spaces [PDF]
, 2017 In many linear inverse problems, we want to estimate an unknown vector belonging to a high-dimensional (or infinite-dimensional) space from few linear measurements. To overcome the ill-posed nature of such problems, we use a low-dimension assumption on the unknown vector: it belongs to a low-dimensional model set. The question of whether it is possible
Traonmilin, Yann +3 more
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Some approximate Gauss–Newton-type methods for nonlinear ill-posed problems; pp. 227–237 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 This paper treats numerical methods for solving the nonlinear ill-posed equation F(x) = 0, where the operator F is a Fréchet differentiable operator from one Hilbert space into another Hilbert space.
Inga Kangro, Raul Kangro, Otu Vaarmann
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The nonperturbative Hilbert space of quantum gravity with one boundary
Journal of High Energy PhysicsWe discuss a basis for the nonperturbative Hilbert space of quantum gravity with one asymptotic boundary. We use this basis to show that the Hilbert space for gravity with two disconnected boundaries factorizes into a product of two copies of the single ...
Vijay Balasubramanian, Tom Yildirim
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Aproximate Cycles of the Second Kind in Hilbert space for a Generalized Barbashin-Ezeilo Problem
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this work we show that the Volterra integral operator defined on the space of absolutely stable functions induces an asymptotically pseudocontractive operator.
Afuwape A. U. +2 more
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Sahand Communications in Mathematical Analysis, 2018 Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames.
Ataollah Askari Hemmat +2 more
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ON A GENERALIZATION OF THE HILBERT SPACE
Demonstratio Mathematica, 1989 We give a certain generalization of Hilbert space using for this purpose the properties of the Mikusiński space and the space normed by elements belonging to the cone of the Mikusiński space. We give some examples of generalized unitary spaces and Hilbert spaces and applications of these spaces in the Bittner operational calculus.
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Finite N Hilbert spaces of bilocal holography
Journal of High Energy PhysicsFor vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite N trace relations on the infinite collective space.
Robert de Mello Koch +2 more
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