Results 11 to 20 of about 64,232 (230)

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 ...
G. Reddy
semanticscholar   +4 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.
Mithun Mukherjee
semanticscholar   +6 more sources

Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces [PDF]

open access: bronzeMemoirs of the American Mathematical Society, 2003
In a series of papers Tsirelson constructed from measure types of random sets and generalised random processes a new range of examples for continuous tensor product systems of Hilbert spaces introduced by Arveson for classifying $E_0$-semigroups.
V. Liebscher
semanticscholar   +7 more sources

Full length article: 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
semanticscholar   +4 more sources

Unconditional bases in tensor products of Hilbert spaces [PDF]

open access: bronzeMATHEMATICA SCANDINAVICA, 2005
We prove that a tensor norm $\alpha$ (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if $\ell_2\otimes\cdots\otimes \ell_2$, endowed with the norm $\alpha$, has an unconditional basis. This extends a classical result of Kwapień and Pełczyński.
Villanueva Díez, Ignacio   +1 more
openaire   +4 more sources

Continuous frames in n-Hilbert spaces and their tensor products [PDF]

open access: greenAnnals of the University of Craiova. Mathematics and computer science series, 2022
We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very important topic in mathematics. Here we also introduce the concept of continuous
P. Ghosh, T. Samanta
semanticscholar   +5 more sources

Continuous frames in tensor product Hilbert spaces, localization operators and density operators [PDF]

open access: hybridJournal of Physics A: Mathematical and Theoretical, 2021
Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous frames for tensor product of Hilbert spaces. This includes, for example, the consistency
Péter Balázs, N. Teofanov
semanticscholar   +3 more sources

Existence of a Bilinear Differential Realization in the Constructions of Tensor Product of Hilbert Spaces

open access: diamondWSEAS Transactions on Mathematics, 2020
The paper describes the results of a functional-geometric study of the necessary and sufficient conditions for the existence of a differential realization in the terms of the tensor product of real Hilbert spaces. There are considered continuous infinite-
A. Daneev, A. Lakeyev, V. Rusanov
semanticscholar   +2 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.
C. S. Kubrusly, P. C. M. Vieira
openaire   +2 more sources

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