Any metric space can be isometrically embed in some Banach space?
31686
Every metric space can be isometrically embedded in a Banach space, so that it's a linearly independent set
128897
Bounded sequence in a metric space
15839
equivalent norms in Banach spaces of infinite dimension
64261
example of not surjective isometry on a bounded not closed set.
126744
Is any Banach space a dual space?
26794
Metrizability of Hausdorff continuous image of compact metric space
147287
Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?
83159
Defining a metric space
7402
Showing a compact metric space has a countable dense subset
128598
How to prove this is a metric?
28731
Banach space in functional analysis
74657
Can this intuition give a proof that an isometry $f:X \to X$ is surjective for compact metric space $X$?
7345
Is $C[0,1]$ a Banach space for the $L^1$ norm?
153952
A map between metric spaces preserving convergent sequences is continuous
129243
Is $C_{c}^{\infty}[a,b]$ a complete metric space?
96074
A net $\varphi : [0, \omega_1) \to M$ on a metric space $M$ converges $\iff \varphi$ is eventually constant
107701
Show that a connected metric space is $\epsilon$-chainable for $\epsilon>0$