Article ID Journal Published Year Pages File Type
4618561 Journal of Mathematical Analysis and Applications 2011 7 Pages PDF
Abstract

We show two examples of operators acting on some Hilbert space and having invariant domains: a paranormal operator, which is not closable and a paranormal and closable operator, which closure is not paranormal. We start by establishing some general lemmas and propositions associating the families of operators mentioned above.

Related Topics
Physical Sciences and Engineering Mathematics Analysis