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Hello I was wondering if there exists open problems in functional analysis that don't require too much machinary for studying them, I mean, problems that don't require high level prerequisites.. Does anyone know any of them:

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A quick Google search gave this (from 2004), which looks like what you wanted(?): You'll have to check if they have been solved since then.

http://www.eweb.unex.es/eweb/extracta/Vol-20-1/20J1Masly.pdf

Also, you can try here:

http://aimpl.org/

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I liked that paper, it sounds there's some interesting problems in there =D Thanks –  PtF Nov 16 '12 at 14:03
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