Linear maps on observables in von Neumann algebras preserving the maximal deviation

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper we describe the structure of all bijective linear maps between the spaces of self-adjoint elements of von Neumann algebras that preserve the so-called maximal deviation. It turns out that those transformations are closely related to Jordan *-isomorphisms.

Original languageEnglish
Pages (from-to)161-174
Number of pages14
JournalJournal of the London Mathematical Society
Volume81
Issue number1
DOIs
Publication statusPublished - Feb 2010

Fingerprint

Jordan Isomorphism
Linear map
Bijective
Von Neumann Algebra
Deviation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Linear maps on observables in von Neumann algebras preserving the maximal deviation. / Molnár, L.

In: Journal of the London Mathematical Society, Vol. 81, No. 1, 02.2010, p. 161-174.

Research output: Contribution to journalArticle

@article{333e61f0a7684077962d1fd85c850fab,
title = "Linear maps on observables in von Neumann algebras preserving the maximal deviation",
abstract = "In this paper we describe the structure of all bijective linear maps between the spaces of self-adjoint elements of von Neumann algebras that preserve the so-called maximal deviation. It turns out that those transformations are closely related to Jordan *-isomorphisms.",
author = "L. Moln{\'a}r",
year = "2010",
month = "2",
doi = "10.1112/jlms/jdp063",
language = "English",
volume = "81",
pages = "161--174",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "1",

}

TY - JOUR

T1 - Linear maps on observables in von Neumann algebras preserving the maximal deviation

AU - Molnár, L.

PY - 2010/2

Y1 - 2010/2

N2 - In this paper we describe the structure of all bijective linear maps between the spaces of self-adjoint elements of von Neumann algebras that preserve the so-called maximal deviation. It turns out that those transformations are closely related to Jordan *-isomorphisms.

AB - In this paper we describe the structure of all bijective linear maps between the spaces of self-adjoint elements of von Neumann algebras that preserve the so-called maximal deviation. It turns out that those transformations are closely related to Jordan *-isomorphisms.

UR - http://www.scopus.com/inward/record.url?scp=76549113024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=76549113024&partnerID=8YFLogxK

U2 - 10.1112/jlms/jdp063

DO - 10.1112/jlms/jdp063

M3 - Article

AN - SCOPUS:76549113024

VL - 81

SP - 161

EP - 174

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 1

ER -