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arXiv · 1907.07619

Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras

Pierre de Jager·Jurie Conradie
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Abstract

In this article we characterize the extreme points of the unit ball of a non-commutative (quantum) Lorentz space associated with a semi-finite von Neumann algebra. This enables us to show that surjective isometries between non-commutative Lorentz spaces are projection disjointness preserving and finiteness preserving, which facilitates a characterization of the structure of these isometries.

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Pierre de Jager, Jurie Conradie. 2019-07-16. Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras. https://arxiv.org/abs/1907.07619

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