An Extreme Point of a closed ball of $\ell^\infty$
105046
Extreme points of the unit ball of the space $c_0 = \{ \{x_n\}_{n=1}^\infty \in \ell^\infty : \lim_{n\to\infty} x_n = 0\}$
32555
Prove: The weak closure of the unit sphere is the unit ball.
120623
Unit sphere in $\mathbb{R}^\infty$ is contractible?
105960
Counterexamples to Brouwer's fixed point theorem for the closed unit ball in Banach space
145668
Subspaces of $\ell^{2}$ and $\ell^{\infty}$ which are not closed?
92588
Showing that $(C_0([0,\infty)), \|\cdot\|_\infty)$ is complete.
10383
The $ l^{\infty} $-norm is equal to the limit of the $ l^{p} $-norms.
81302
Showing that $a_n \in \ell^{\infty}$
31002
Proving that the unit ball in $\ell^2(\mathbb{N})$ is non-compact
31303
If $p\in\Bbb Z[X]$ show that: $ \max\limits_{x\in [0,1]}\left|p(x) \right| > \frac{1}{e^{n}}. $
146756
Convergence at infinitely many points in a compact set and convergence in the whole region
101190
Extreme Points of a Convex Hull
128482
The set of subsequential limits is closed
92497
Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
43248
Closure of a Ball is Contained in Closed Ball (usual metric)
44607
Prove that a continuous function on a closed interval attains a maximum
43419
At unique critical point, does local max imply global max?