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On characteristic properties of singular operators

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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Bibliographic Details
Date:	1996
Main Authors:	Koshmanenko, V. D., Ota, S., Кошманенко, В. Д., Ота, Ш.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5202
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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