Results 11 to 20 of about 62,388 (221)

A Max-Flow Approach to Random Tensor Networks [PDF]

open access: yesEntropy
The entanglement entropy of a random tensor network (RTN) is studied using tools from free probability theory. Random tensor networks are simple toy models that help in understanding the entanglement behavior of a boundary region in the anti-de Sitter ...
Khurshed Fitter   +2 more
doaj   +2 more sources

The complexity of linear tensor product problems in (anti)symmetric Hilbert spaces [PDF]

open access: greenJournal of Approximation Theory, 2012
We study linear problems defined on tensor products of Hilbert spaces with an additional (anti-) symmetry property. We construct a linear algorithm that uses finitely many continuous linear functionals and show an explicit formula for its worst case error in terms of the singular values of the univariate problem.
Markus Weimar
openalex   +3 more sources

Hilbert modules and tensor products of operator spaces [PDF]

open access: bronzeBanach Center Publications, 1997
The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product H⊗H is extended to the context of Hilbert modules over commutative von Neumann algebras.
Bojan Magajna
openalex   +2 more sources

On cluster systems of tensor product systems of Hilbert spaces [PDF]

open access: greenAnnals of Functional Analysis, 2015
It is known that the spatial product of two product systems is intrinsic. Here we extend this result by analyzing subsystems of the tensor product of product systems. A relation with cluster systems is established. In a special case, we show that the amalgamated product of product systems through strictly contractive units is independent of the choices
Mithun Mukherjee
openalex   +5 more sources

Controlled Fusion Frame in Tensor Product of Hilbert Spaces [PDF]

open access: diamondMathematica Pannonica
In this paper, we study controlled fusion frame in tensor product of Hilbert spaces and discuss some of its properties. We describe the resolution of the identity operator on a tensor product of Hilbert spaces using the theory of controlled fusion frame.
Prasenjit Ghosh, T. K. Samanta
openalex   +3 more sources

Controlled generalized fusion frame in the tensor product of Hilbert spaces

open access: diamondArmenian Journal of Mathematics, 2021
We present controlled by operators generalized fusion frame in the tensor product of Hilbert spaces and discuss some of its properties. We also describe the frame operator for a pair of controlled $g$-fusion Bessel sequences in the tensor product of Hilbert spaces.
Prasenjit Ghosh, T. K. Samanta
openalex   +4 more sources

Convergence and Decomposition for Tensor Products of Hilbert Space Operators [PDF]

open access: bronzeOperators and Matrices, 2008
It is shown that convergence of sequences of Hilbert space operators is preserved by tensor product and the converse holds in case of convergence to zero under the semigroup assumption. In particular, unlike ordinary product of operators, weak convergence is preserved by tensor product.
Carlos S. Kubrusly, Peter Vieira
openalex   +2 more sources

Tensor Product of 2-Frames in 2-Hilbert Spaces

open access: diamondAdvances in Pure Mathematics, 2016
2-frames in 2-Hilbert spaces are studied and some results on it are presented. The tensor product of 2-frames in 2-Hilbert spaces is introduced. It is shown that the tensor product of two 2-frames is a 2-frame for the tensor product of Hilbert spaces. Some results on tensor product of 2-frames are established.
G. Upender Reddy
openalex   +3 more sources

On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space [PDF]

open access: green, 2021
Major revision undertaken keeping in focus the analysis of strong Arens irregularity of the projective tensor product of the Hibert-Schmidt ...
Ved Prakash Gupta, Lav Kumar Singh
openalex   +4 more sources

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