Jordan *-derivation pairs on standard operator algebras and related results

• Autorzy: Dilian Yang
• Języki publikacji: EN

Abstrakty

EN

Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.

Kategorie tematyczne

• 16W10: Rings with involution; Lie, Jordan and other nonassociative structures
• 39B52: Equations for functions with more general domains and/or ranges
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 1
• Strony: 137-145

Daty

wydano

2005

Twórcy

autor

Dilian Yang

• Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Identyfikatory

DOI

10.4064/cm102-1-12