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

Lajos Molnár. "Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators." Studia Mathematica 173.1 (2006): 39-48. <http://eudml.org/doc/284743>.

@article{LajosMolnár2006,
abstract = { 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. },
author = {Lajos Molnár},
journal = {Studia Mathematica},
keywords = {Jordan triple automorphism; selfadjoint operators; positive operators},
language = {eng},
number = {1},
pages = {39-48},
title = {Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators},
url = {http://eudml.org/doc/284743},
volume = {173},
year = {2006},
}

TY - JOUR
AU - Lajos Molnár
TI - Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 1
SP - 39
EP - 48
AB - 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.
LA - eng
KW - Jordan triple automorphism; selfadjoint operators; positive operators
UR - http://eudml.org/doc/284743
ER -