On some automorphisms of the set of effects on Hilbert space

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

Original languageEnglish
Pages (from-to)37-45
Number of pages9
JournalLetters in Mathematical Physics
Volume51
Issue number1
Publication statusPublished - Jan 1 2000

Fingerprint

automorphisms
Jordan
Hilbert space
Automorphisms
Triple product
Affine Structure
products
Convex Sets
Multiplicative

Keywords

  • Automorphism
  • Effect algebra
  • Factor
  • Hilbert space
  • Operator algebra

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

On some automorphisms of the set of effects on Hilbert space. / Molnár, L.

In: Letters in Mathematical Physics, Vol. 51, No. 1, 01.01.2000, p. 37-45.

Research output: Contribution to journalArticle

@article{3eba9d0687834841b8c707cb248ab061,
title = "On some automorphisms of the set of effects on Hilbert space",
abstract = "The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.",
keywords = "Automorphism, Effect algebra, Factor, Hilbert space, Operator algebra",
author = "L. Moln{\'a}r",
year = "2000",
month = "1",
day = "1",
language = "English",
volume = "51",
pages = "37--45",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - On some automorphisms of the set of effects on Hilbert space

AU - Molnár, L.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

AB - The set of all effects on a Hilbert space has an affine structure (it is a convex set) as well as a multiplicative structure (it can be equipped with the so-called Jordan triple product). In this paper we describe the corresponding automorphisms of that set.

KW - Automorphism

KW - Effect algebra

KW - Factor

KW - Hilbert space

KW - Operator algebra

UR - http://www.scopus.com/inward/record.url?scp=0003093374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003093374&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 37

EP - 45

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -