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In the back of my mind, I have the strong recollection (though perhaps I am confabulating) that Barry Simon once jokingly wrote something akin to

"Let $H$ be a Hilbert space, taken to be separable (are there any other sort?)..."

Can anybody please confirm this, and offer a reference to where the real quote was written?

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That's how section 1.1 of "Trace Ideals and Their Applications" begins:

Throughout, all our Hilbert spaces will be complex and separable (are there any others?)...

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  • $\begingroup$ Fantastic! Thank you. :) $\endgroup$ – Stromael Feb 27 '17 at 21:53

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