Results 41 to 50 of about 359,212 (230)
More on doubled Hilbert space in double-scaled SYK
We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in Okuyama (2024) [7]. We show that the 1-particle Hilbert space introduced by Lin and Stanford (2023) [6] is related to the doubled Hilbert space H0⊗H0 of ...
Kazumi Okuyama
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Crossing complexity of space-filling curves reveals entanglement of S-phase DNA.
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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Characterization, Dilation, and Perturbation of Basic Continuous Frames
A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges ...
Xin Zhao, Pengtong Li
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Aproximate Cycles of the Second Kind in Hilbert space for a Generalized Barbashin-Ezeilo Problem
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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Dynamics for holographic codes
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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Dilations for Systems of Imprimitivity acting on Banach Spaces
Motivated by a general dilation theory for operator-valued measures, framings and bounded linear maps on operator algebras, we consider the dilation theory of the above objects with special structures.
Han, Deguang +3 more
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A characterization of Hilbert space [PDF]
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
openaire +1 more source
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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Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that various classes of coherent states such as the canonical coherent states, pure squeezed states, fermionic coherent states can be defined with all the ...
B Muraleetharan +19 more
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Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions
In this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
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