Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600744 | Linear Algebra and its Applications | 2012 | 5 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maryam Khosravi,