A Banach space $X$ is reflexive iff $X^*$ is reflexive
6955
A Banach space is reflexive if and only if its dual is reflexive
106670
Existence of vector space complement and axiom of choice
140472
Is the space $\mathbb{N}$ is a baire spaces ? yes/No
51177
When are two norms equivalent on a Banach space?
156855
separable Banach space with Banach-Mazur distances to $\ell_2^n$ bounded must be isomorphic to $\ell_2$?
114608
Proof concerning regular space: there exist a closed set contained in any open set containing $x$
22295
Subspace of a separable space is separable
64840
A Banach space that is not a Hilbert space
145952
Example of a closed subspace of a Banach space which is not complemented?
71001
Do continuous linear functions between Banach spaces extend?
28731
Banach space in functional analysis
2056
A space is $T_{0}$ if and only if the closures of singletons are distinct
100161
Is it true that $\dim(X) \leq \dim(X^{\ast})$ for every infinite dimentional Banach space $X$?
47231
The space $C^0([0;1],\mathbb{R})$ of all continuous, real-valued functions on $[0,1]$ is not reflexive.
91022
How do I prove that a subspace of a vector space $X$ is the null space of some linear functional on $X$?
44738
Compact operators on an infinite dimensional Banach space cannot be surjective
102048
Closure of a compact set in Regular space $ X $