Research Article

Lie derivable maps at unit operator on nest algebras

Published in: Quaestiones Mathematicae
Volume 47 , issue 2 , 2024 , pages: 451–460

DOI: 10.2989/16073606.2023.2229555

Author(s): Kaipeng Li Xidian University, P.R. China , Lei Liu Xidian University, P.R. China

Keywords: Primary: Primary: 16W25 , Secondary: Secondary: 47L35 , Derivation , Lie derivation , nest algebra

Abstract

Let be a nontrivial nest on a separable Hilbert space and be the associated nest algebra. In this note, we prove that, if contains an atom of infinite rank or is uncountable, then the unit operator I is a Lie all-derivable point of .

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Research Article

Lie derivable maps at unit operator on nest algebras

Abstract

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