Article ID Journal Published Year Pages File Type
4600744 Linear Algebra and its Applications 2012 5 Pages PDF
Abstract

Let B(H)B(H) be the set of all bounded linear operators on a Hilbert space HH. In this paper we show that if S   is a closed range operator with R(S)=R(S*)R(S)=R(S*), then‖S∗⊗S†+S†⊗Sast‖λ=2,‖S∗⊗S†+S†⊗Sast‖λ=2,if and only if S is a non-zero real scalar of a normal partial isometry. Also we find some other characterizations of this space using some inequalities related to Corach–Porta–Recht inequality.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
,