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The Mediating Morphism of the Multilinear Optimal Map

Published online by Cambridge University Press:  28 May 2015

Seak-Weng Vong*
Affiliation:
Department of Mathematics, University of Macau, Macao, China
Xiao-Qing Jin*
Affiliation:
Department of Mathematics, University of Macau, Macao, China
Jin-Hua Wang*
Affiliation:
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China
*
Corresponding author. Email: [email protected]
Corresponding author. Email: [email protected]
Corresponding author. Email: [email protected]
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Abstract

In this short note, we study a relation between the tensor product of matrices and a multilinear map defined by the optimal operator. In this particular case, the linear transform (mediating morphism) hidden in the abstract definition of the general tensor product can be determined explicitly.

Type
Research Article
Copyright
Copyright © Global-Science Press 2014

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