Article ID Journal Published Year Pages File Type
6416782 Linear Algebra and its Applications 2012 9 Pages PDF
Abstract

An operator T∈B(H) is called a ∗-class A operator if |T2|⩾|T∗|2, and T is said to be ∗-paranormal if ‖T∗x‖2⩽‖T2x‖ for every unit vector x in H. In this paper we show that ∗-paranormal contractions are the direct sum of a unitary and a C.0 completely non-unitary contraction. Also, we consider the tensor products of ∗-class A operators.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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