Anti-derivable linear maps at zero on standard operator algebras

Research

Title	Anti-derivable linear maps at zero on standard operator algebras
Type	JournalPaper
Keywords	anti-derivation, Jordan derivation, derivation, standard operator algebra
Year	2022
Journal	ACTA MATHEMATICA HUNGARICA
DOI
Researchers	Kamal Fallahi ، Hoger Ghahramani

Abstract

Let X be a complex Banach space with dim X ≥ 2, and A ⊆ B(X) be a standard operator algebra. We show that a linear mapping δ: A → A is anti-derivable at zero (i.e., xy = 0 in A implies yδ(x) + δ(y)x = 0) if and only if δ = 0.

Hoger Ghahramani

Research

Abstract