2025/12/5
Hoger Ghahramani

Hoger Ghahramani

Academic rank: Professor
ORCID:
Education: PhD.
H-Index:
Faculty: Faculty of Science
ScholarId:
E-mail: h.ghahramani [at] uok.ac.ir
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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.