Scalar Operators Representable as a Sum of Projectors

Authors

  • V. I. Rabanovych
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ

Abstract

We study sets Σn={αR1| there exist n projectors P1,...,Pn such that nk=1Pk=αI} . We prove that if n ≥ 6, then {0,1,1+1n1,[1+1n2,n11n2],n11n1,n1,n} Σn{0,1,1+kk(n3)+2,kN,[1+1n3,n11n3],n1kk(n3)+2,kN,n1,n} .

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.