Hilbert Isometries and Maximal Deviation Preserving Maps on JB-Algebras

Roelands, Mark, Wortel, Marten (2019) Hilbert Isometries and Maximal Deviation Preserving Maps on JB-Algebras. Advances in Mathematics, 352 . pp. 836-861. ISSN 0001-8708. (doi:10.1016/j.aim.2019.06.027) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:76975)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL: https://doi.org/10.1016/j.aim.2019.06.027

Abstract

In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation, the quantum analogue of the standard deviation, which plays an important role in quantum statistics. Consequently, we characterize the Hilbert's metric isometries on cones in JB-algebras.

Item Type:	Article
DOI/Identification number:	10.1016/j.aim.2019.06.027
Uncontrolled keywords:	JB-algebrasHilbert's metric, Maximal, deviation, Linear isometries
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Mark Roelands
Date Deposited:	02 Oct 2019 15:33 UTC
Last Modified:	04 Mar 2024 16:30 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/76975 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roelands, Mark.

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