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arXiv · 2310.14789

Unital positive Schur multipliers on $S_n^p$ with a completely isometric dilation

Charles Duquet
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Abstract

Let $1<p\not=2<\infty$ and let $S^p_n$ be the associated Schatten von Neumann class over $n\times n$ matrices. We prove new characterizations of unital positive Schur multipliers $S^p_n\to S^p_n$ which can be dilated into an invertible complete isometry acting on a non-commutative $L^p$-space. Then we investigate the infinite dimensional case.

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Charles Duquet. 2023-10-23. Unital positive Schur multipliers on $S_n^p$ with a completely isometric dilation. https://doi.org/10.7146/math.scand.a-146563

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