2-local Jordan automorphisms on operator algebras

Ajda Fošner

Studia Mathematica (2012)

  • Volume: 209, Issue: 3, page 235-246
  • ISSN: 0039-3223

Abstract

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We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.

How to cite

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Ajda Fošner. "2-local Jordan automorphisms on operator algebras." Studia Mathematica 209.3 (2012): 235-246. <http://eudml.org/doc/286100>.

@article{AjdaFošner2012,
abstract = {We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.},
author = {Ajda Fošner},
journal = {Studia Mathematica},
keywords = {Jordan automorphism; 2-local Jordan automorphism; automorphism; anti-automorphism},
language = {eng},
number = {3},
pages = {235-246},
title = {2-local Jordan automorphisms on operator algebras},
url = {http://eudml.org/doc/286100},
volume = {209},
year = {2012},
}

TY - JOUR
AU - Ajda Fošner
TI - 2-local Jordan automorphisms on operator algebras
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 3
SP - 235
EP - 246
AB - We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.
LA - eng
KW - Jordan automorphism; 2-local Jordan automorphism; automorphism; anti-automorphism
UR - http://eudml.org/doc/286100
ER -

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