On characteristic properties of singular operators

  • V. D. Koshmanenko Iн-т математики НАН України, Київ
  • S. Ota

Abstract

For a linear operatorS in a Hilbert space ℋ, the relationship between the following properties is investigated: (i)S is singular (= nowhere closable), (ii) the set kerS is dense in ℋ, and (iii)D(S)∩ℛ(S)={0}.
Published
25.11.1996
How to Cite
KoshmanenkoV. D., and OtaS. “On Characteristic Properties of Singular Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 11, Nov. 1996, pp. 1484-93, https://umj.imath.kiev.ua/index.php/umj/article/view/5202.
Section
Research articles