Can arbitrary Banach spaces be embedded into spheres?
103397
Homeomorphisms between infinite-dimensional Banach spaces and their spheres
68153
How to show that $L^p$ spaces are nested?
155621
Finiteness of the dimension of a normed space and compactness
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
122121
Is there a vector space that cannot be an inner product space?
87580
Canonical examples of inner product spaces that are not Hilbert spaces?
115999
Is there always an injective map from a space in its dual space?
154913
Are all the norms of $L^p$ space equivalent?
71848
Show that $(L^{p},\|\|_{p})$ is a Banach space.
128266
Dual Spaces and Natural maps
115350
An example of a Banach space isomorphic but not isometric to a dual Banach space
121198
$W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?
11762
Compactness of a Sphere
134492
Proving that a Hölder space is a Banach space
7345
Is $C[0,1]$ a Banach space for the $L^1$ norm?
29655
$L^p$ and $L^q$ space inclusion