2-local Jordan automorphisms on operator algebras

• Autorzy: Ajda Fošner
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47L10: Algebras of operators on Banach spaces and other topological linear spaces
• 16W20: Automorphisms and endomorphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 3
• Strony: 235-246

Daty

wydano

2012

Twórcy

autor

Ajda Fošner

• Faculty of Management, University of Primorska, Cankarjeva 5, SI-6104 Koper, Slovenia

Identyfikatory

DOI

10.4064/sm209-3-3