Results 21 to 30 of about 60,391 (204)
On the minimal Sums of sequences in the tensor product of separable Hilbert spaces
, 2022 It is known that the tensor product of two sequences, in the tensor product of two separable Hilbert spaces, is a frame if and only if each component of that product is a frame. This paper proposes a sort of generalization of the aforementioned result by dealing with sequences S that are finite minimal sums of tensor products of a finite number of ...
Abdelkrim Bourouihiya, Samir Kabbaj
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Estimates for resolvents and functions of operator pencils on tensor products of Hilbert spaces [PDF]
Kyoto Journal of Mathematics, 2011 Let $H=X\otimes Y$ be a tensor product of separable Hilbert spaces $X$ and $Y$ . We establish norm estimates for the resolvent and operator-valued functions of the operator $A=\sum_{k=0}^{m}B_{k}\otimes S^{k}$ , where $B_{k}$ $(k=0,\ldots,m)$ are bounded operators acting in $Y$ , and $S$ is a self-adjoint operator acting in $X$ .
Michael I. Gil’
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Continuous tensor products of Hilbert spaces and product operators [PDF]
Studia Mathematica, 1971 Kazimierz Napiórkowski
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Operator Isomorphisms on Hilbert Space Tensor Products
, 2020 This article presents an isomorphism between two operator algebras $L_1$ and $L_2$ where $L_1$ is the set of operators on a space of Hilbert-Schmidt operators and $L_2$ is the set of operators on a tensor product space. We next compare our isomorphism to a well-known result called Choi's isomorphism theorem.
Stan Gudder
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Frames and Bases in Tensor Product of Hilbert Spaces
, 2012 12 ...
Amir Khosravi, Mohammad Sadegh Asgari
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Self-duality for the Haagerup tensor product and Hilbert space factorizations
Journal of Functional Analysis, 1991 AbstractD. Blecher and V. Paulsen showed that the Haagerup tensor product V ⊗h W for operator spaces V and W preserves inclusions. It is proved to also preserve complete quotient maps, and to be self-dual in the sense that it induces the Haagerup norm on the algebraic tensor product V∗ ⊗ W∗. The full operator dual space (V ⊗h W)∗ is computed.
Edward G. Effros, Zhong‐Jin Ruan
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Dunford–Pettis properties, Hilbert spaces and projective tensor products
Journal of Functional Analysis, 2007 AbstractWe study complete continuity properties of operators onto ℓ2 and prove several results in the Dunford–Pettis theory of JB∗-triples and their projective tensor products, culminating in characterisations of the alternative Dunford–Pettis property for E⊗ˆπF where E and F are JB∗-triples.
L. J. Bunce, Antonio M. Peralta
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Tensor Product of 2-Frames in 2-Hilbert Spaces
Advances 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
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The complexity of linear tensor product problems in (anti)symmetric Hilbert spaces
Journal 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
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Tensor dimensionality reduction via mode product and HSIC
IET Image Processing, 2021 Tensor dimensionality reduction (TDR) is a hot research topic in machine learning, which learns data representations by preserving the original data structure while avoiding convert samples into vectors and solving the problem of the curse of ...
Guo Niu, Zhengming Ma
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