On characteristic properties of singular operators

• Datum: 1996
• Hauptverfasser: Koshmanenko, V. D., Ota, S., Кошманенко, В. Д., Ота, Ш.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5202
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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}.