On the closability of paranormal operators |
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| Authors: | Andrzej Daniluk |
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| Institution: | Faculty of Mathematics, Jagiellonian University, Kraków, Poland |
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| 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. |
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| Keywords: | Paranormal operator Closable operator Hilbert space |
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