12. Banach spaces (Sir Michael Atiyah, from http://www.johndcook. com/blog/2013/09/24/interview-with-sir-michael-atiyah/.)
2. Vector spaces of functions We consider vector spaces over the field R to simplify the presentation, most results carry on to
Lecture 30: Recall: Lemma: Let W be a (norm-) closed subspace of an NVS X. Let y ∈ X \ W. Then there is an f ∈ X s.t. f(y) &
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 reference request - Is $(\ell^1(\mathbb N_0),\sigma(\ell^1,\ell^\infty))$ not quasi-complete? - MathOverflow](https://i.stack.imgur.com/opjJK.png)