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Tensor Products of Operator Systems
Journal of Functional Analysis, 2011 The purpose of the present paper is to lay the foundations for a systematic study of tensor products of operator systems. After giving an axiomatic definition of tensor products in this category, we examine in detail several particular examples of tensor
Mark Tomforde
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A Semi-Tensor Product of Tensors and Applications
East Asian Journal on Applied Mathematics, 2022Summary: A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied.
Liu, Wei-Hui +2 more
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The Tensor Phase Under a Tensor–Tensor Product
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei, Hayoung Choi, Pengpeng Xie
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Mathematical Journal of Okayama University, 1997
From the preliminaries: ``In this note we introduce a new tensor product functor in the category of complexes. We show that this tensor product is left adjoint to the Hom-functor properly modified. With this tensor product we study flat complexes, pure exact sequences of complexes, pure injective complexes and give a complete description of flat pure ...
Enochs, Edgar E., Rozas, J.R. Garcia
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From the preliminaries: ``In this note we introduce a new tensor product functor in the category of complexes. We show that this tensor product is left adjoint to the Hom-functor properly modified. With this tensor product we study flat complexes, pure exact sequences of complexes, pure injective complexes and give a complete description of flat pure ...
Enochs, Edgar E., Rozas, J.R. Garcia
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Smooth Tensor Product for Tensor Completion
IEEE Transactions on Image ProcessingLow-rank tensor completion (LRTC) has shown promise in processing incomplete visual data, yet it often overlooks the inherent local smooth structures in images and videos. Recent advances in LRTC, integrating total variation regularization to capitalize on the local smoothness, have yielded notable improvements.
Tongle Wu, Jicong Fan 0001
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Tensor Products of Representations
American Journal of Mathematics, 1987Let G be a connected reductive algebraic group of characteristic zero. Let B be a Borel subgroup of G. If \(\Psi\) is a dominant character of B then there is a corresponding irreducible representation \(V_ G(\Psi)\) of G on the space of global sections \(\Gamma\) (G/B,L(\(\Psi)\)) of the line bundle L(\(\Psi)\) on G/B corresponding to \(\Psi\).
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Ukrainian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Acta Mathematica Hungarica, 2002
In J. Algebra 221, 315--344 (1999; Zbl 0961.06005), the first author and \textit{F. Wehrung} introduced the lattice tensor product \(A\boxtimes B\) for lattices \(A\) and \(B\). Then the authors [in Part I of this series of papers in Acta Math. Hung. 95, 261--279 (2002; Zbl 0997.06002)] showed that if \(A\) is finite and \(B\) is bounded, then members ...
Grätzer, G., Greenberg, M.
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In J. Algebra 221, 315--344 (1999; Zbl 0961.06005), the first author and \textit{F. Wehrung} introduced the lattice tensor product \(A\boxtimes B\) for lattices \(A\) and \(B\). Then the authors [in Part I of this series of papers in Acta Math. Hung. 95, 261--279 (2002; Zbl 0997.06002)] showed that if \(A\) is finite and \(B\) is bounded, then members ...
Grätzer, G., Greenberg, M.
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