Can every Banach space be given an inner product homeomorphically?
104881
Showing that two Banach spaces are homeomorphic when their dimensions are equal.
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
78654
An example of a norm which can't be generated by an inner product
16892
Reference request: product Borel $\sigma$-algebra of non-separable metric spaces
19294
‎If ‎‎$‎X$ is an infinite-dimensional Banach space and ‎‎$‎‎u‎\in ‎B(X)‎$ ,then $\bigcap_{v\in K(X)}\sigma(u+v) =\cdots$
49087
Show that a norm on an inner product space satisfies parallelogram law.
69893
An inner product space and its proper closed subspace with trivial orthogonal complement
9295
Let $X$ be an infinite dimensional Banach space. Prove that every Hamel basis of X is uncountable.
137067
For Banach space there is a compact topological space so that the Banach space is isometrically isomorphic with a closed subspace of $C(X)$.
140835
Inner Product Space Inequality
146839
Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball
31686
Every metric space can be isometrically embedded in a Banach space, so that it's a linearly independent set
134492
Proving that a Hölder space is a Banach space
77563
Homeomorphism between spaces equipped with cofinite topologies
122121
Is there a vector space that cannot be an inner product space?
155244
Holomorphic self map on the open unit disc
139367
Hahn Banach Theorem: Transfinite Induction