What is "analytic vector for closed operator"?

Question

I need the defenition of "analytic vector of closed operator that acts on Hilbert space". I cant find it in google and in my textbooks (Khelemsky "Lectures And Exercises on Functional Analysis"), I need to source where I can read the definition.

I first read that you got it from that book you cite. Sorry. Where did you read this term? — Friedrich Philipp, Mar 15 '16 at 21:33
It is from dissertation of Ukrainian mathematician (on Ukrainian language), so, I dont think that refer on it will be very interesting. I thought that it is general terminology. — Mykola Pochekai, Mar 15 '16 at 21:45

score 1 · Accepted Answer · edited Apr 13 '17 at 12:21

1

After a Google search I found this: Analytic Vectors (Nelson's Theorem) . You find the definition in answer 2.

edited Apr 13 '17 at 12:21

Community

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answered Mar 15 '16 at 21:52

Friedrich Philipp

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Thanks! I think that is exactly what I need. – Mykola Pochekai Mar 15 '16 at 21:56

What is "analytic vector for closed operator"?

1 Answers1