THE WEAK∗ TOPOLOGY. 1. Introduction In this paper, we give background on topology in section 2. We then understand the motivat
reference request - Is $(\ell^1(\mathbb N_0),\sigma(\ell^1,\ell^\infty))$ not quasi-complete? - MathOverflow
ultrafilter theorem in nLab
Krein–Milman theorem - Wikipedia
Assorted notes on functional analysis
Brief summary of functional analysis APPM 5440 Fall 2014 Applied Analysis
A Converse to Lieb–Robinson Bounds in One Dimension Using Index Theory | SpringerLink
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12. Banach spaces (Sir Michael Atiyah, from http://www.johndcook. com/blog/2013/09/24/interview-with-sir-michael-atiyah/.)
Banach-Alaoglu Theorem -- from Wolfram MathWorld
functional analysis - Proof that a linear map T is bounded if and only if the inverse image of the unit ball has nonempty interior - Mathematics Stack Exchange