Re: Finite rank linear operator

From: Bill (nospam)
Date: 09/21/04 

Date: Mon, 20 Sep 2004 23:36:34 -0500

"Alexander Korovyev" <korovyev@rambler.ru> wrote in message
news:26c82787.0409201948.4e88e8f3@posting.google.com...
> Suppose X is a Hilbert space and L is a linear operator. If L(X) is
> finite dimensional does it follow that L is bounded?

What do you think; what are your ideas so far? Have you
constructed/collected any examples? This is a very easy question.