Scalar Operators Representable as a Sum of Projectors
Abstract
We study sets Σn={α∈R1| there exist n projectors P1,...,Pn such that ∑nk=1Pk=αI} . We prove that if n ≥ 6, then {0,1,1+1n−1,[1+1n−2,n−1−1n−2],n−1−1n−1,n−1,n}⊃ Σn⊃{0,1,1+kk(n−3)+2,k∈N,[1+1n−3,n−1−1n−3],n−1−kk(n−3)+2,k∈N,n−1,n} .Downloads
Published
25.07.2001
Issue
Section
Research articles
How to Cite
Rabanovych, V. I., and Yu. S. Samoilenko. “Scalar Operators Representable As a Sum of Projectors”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 7, July 2001, pp. 939-52, https://umj.imath.kiev.ua/index.php/umj/article/view/4315.