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Bibliographic Details
Main Authors: Kato, Shinya, Ueda, Yoshimichi
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.01790
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Table of Contents:
  • 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.