On characteristic properties of singular operators

Authors

  • 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}.

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Published

25.11.1996

Issue

Vol. 48 No. 11 (1996)

Section

Research articles

How to Cite

Koshmanenko, V. D., and S. Ota. “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.