Article ID Journal Published Year Pages File Type
4604017 Linear Algebra and its Applications 2006 7 Pages PDF
Abstract

In this paper, it is shown that every norm continuous linear local derivation from an arbitrary CSL algebra whose lattice is generated by finitely many independent nests into any ultraweakly closed subalgebra which contains the algebra is an inner derivation, and that every norm continuous linear local derivation from an arbitrary CSL algebra whose lattice is completely distributive into any ultraweakly closed subalgebra which contains the algebra is a derivation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory