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arXiv · 2307.01790

A remark on non-commutative $L^p$-spaces

Shinya Kato·Yoshimichi Ueda
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Abstract

We explicitly describe the Haagerup and the Kosaki non-commutative $L^p$-spaces associated with a tensor product von Neumann algebra $M_1\bar{\otimes}M_2$ in terms of those associated with $M_i$ and usual tensor products of unbounded operators. The descriptions are then shown to be useful in the quantum information theory based on operator algebras.

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Shinya Kato, Yoshimichi Ueda. 2023-07-04. A remark on non-commutative $L^p$-spaces. https://doi.org/10.4064/sm230724-11-10

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