A Kleinecke-Shirokov type condition with Jordan automorphisms

• Autorzy: Matej Brešar , Ajda Fošner , Maja Fošner
• Języki publikacji: EN

Abstrakty

EN

Let φ be a Jordan automorphism of an algebra 𝓐. The situation when an element a ∈ 𝓐 satisfies $1/2(φ(a) + φ^{-1}(a)) = a$ is considered. The result which we obtain implies the Kleinecke-Shirokov theorem and Jacobson's lemma.

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 16W20: Automorphisms and endomorphisms
• 46H05: General theory of topological algebras
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 147
• Numer: 3
• Strony: 237-242

Daty

wydano

2001

Twórcy

autor

Matej Brešar

• Department of Mathematics, University of Maribor, PF, Koroška 160, 2000 Maribor, Slovenia

autor

Ajda Fošner

• Department of Mathematics, University of Maribor, PF, Koroška 160, 2000 Maribor, Slovenia

autor

Maja Fošner

• Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia

Identyfikatory

DOI

10.4064/sm147-3-3