Article ID Journal Published Year Pages File Type
4601938 Linear Algebra and its Applications 2010 11 Pages PDF
Abstract

It is proved that a Jordan algebra of compact operators which is closed is either an Engel Jordan algebra, or contains a nonzero finite rank operator; Moreover, it is showed that any solvable Jordan algebra of compact operators on an infinite dimensional Banach space is triangularizable.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory