Two infinite dimensional spaces whose Banach-Mazur distance equal to 1(details in the proof)
62262
The Banach-Mazur distance is not reached
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
123197
$C^2 $embedded in holder space?
28731
Banach space in functional analysis
136439
Where can I read the full proof of the Banach-Mazur theorem?
9295
Let $X$ be an infinite dimensional Banach space. Prove that every Hamel basis of X is uncountable.
56592
The Sobolev Space $H^{1/2}$
65180
A compact Hausdorff space that is not metrizable
92510
Proving a vector space is infinite-dimensional
26183
Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
27478
Proof that two basis of a vector space have the same cardinality in the infinite-dimensional case
92497
Isometric Embedding of a separable Banach Space into $\ell^{\infty}$
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
71848
Show that $(L^{p},\|\|_{p})$ is a Banach space.
90628
The metric spaces are Tychonoff spaces
31686
Every metric space can be isometrically embedded in a Banach space, so that it's a linearly independent set
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space