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

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)39-48
Number of pages10
JournalStudia Mathematica
Volume173
Issue number1
DOIs
Publication statusPublished - 2006

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Adjoint Operator
Positive Operator
Self-adjoint Operator
Invertible
Automorphisms
Bijective
Linearity
Equality
Form

Keywords

  • Jordan triple automorphism
  • Positive operators
  • Self-adjoint operators

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators. / Molnár, L.

In: Studia Mathematica, Vol. 173, No. 1, 2006, p. 39-48.

Research output: Contribution to journalArticle

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