On a tensor-analogue of the Schur product

We consider the tensorial Schur product R ∘ ⊗ S = [ r i j ⊗ s i j ] for R ∈ M n ( A ) , S ∈ M n ( B ) , with A , B unital C ∗ -algebras, verify that such a ‘tensorial Schur product’ of positive operators is again positive, and then use this fact to prove (an apparently marginally more general versio...

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Bibliographic Details

Published in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 20; no. 3; pp. 621 - 624
Main Authors:	Sumesh, K., Sunder, V. S.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-09-2016 Springer Nature B.V
Subjects:	Algebra Calculus of Variations and Optimal Control; Optimization Econometrics Fourier Analysis Linear algebra Mathematics Mathematics and Statistics Operator Theory Potential Theory Studies algebras Choi’s theorem Completely positive maps 47.030 46.025
Online Access:	Get full text
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