Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601474 | Linear Algebra and its Applications | 2011 | 8 Pages |
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.
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