Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators

• Autorzy: Lajos Molnár
• Języki publikacji: EN

Abstrakty

EN

We consider the so-called Jordan triple automorphisms of some important sets of self-adjoint operators without the assumption of linearity. These transformations are bijective maps which satisfy the equality
ϕ(ABA) = ϕ(A)ϕ(B)ϕ(A)
on their domains. We determine the general forms of these maps (under the assumption of continuity) on the sets of all invertible positive operators, of all positive operators, and of all invertible self-adjoint operators.

Kategorie tematyczne

• 47B49: Transformers, preservers (operators on spaces of operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 173
• Numer: 1
• Strony: 39-48

Daty

wydano

2006

Twórcy

autor

Lajos Molnár

• Institute of Mathematics, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary

Identyfikatory

DOI

10.4064/sm173-1-3