Mixed *-Jordan-type derivations on *-algebras
Bruno Leonardo Macedo Ferreira, Feng Wei
Abstract
Let [Formula: see text] be an *-algebra with identity [Formula: see text] and [Formula: see text] and [Formula: see text] nontrivial symmetric idempotents in [Formula: see text]. In this paper we study the characterization of nonlinear mixed *-Jordan-type derivations. In particular, if [Formula: see text] is a factor von Neumann algebra then every unital nonlinear mixed *-Jordan-type derivations are additive *-derivations.
Topics & Concepts
MathematicsVon Neumann algebraUnitalType (biology)Jordan algebraPure mathematicsVon Neumann architectureIdentity (music)Algebra over a fieldCharacterization (materials science)Algebra representationNanotechnologyMaterials scienceAcousticsEcologyPhysicsBiologyAdvanced Topics in AlgebraAdvanced Operator Algebra ResearchAlgebraic structures and combinatorial models