Article ID Journal Published Year Pages File Type
4601474 Linear Algebra and its Applications 2011 8 Pages PDF
Abstract

Let H be an infinite-dimensional complex Hilbert space and let B(H) be the algebra of all bounded linear operators on (H). In the paper the equivalent definition of the star partial order on B(H), using selfadjoint idempotent operators, is introduced. Also some properties of the generalized concept of order relations on B(H), defined with the help of idempotent operators, are investigated.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory