New posts in banach-spaces

A question about complement of a closed subspace of a Banach space

When is an operator on $\ell_1$ the dual of an operator on $c_0$?

I have a hard time interpreting the adjoint of operators defined over Banach spaces

Collecting things that are preserved by (isometric) isomorphisms between normed spaces

Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?

Why $L^{r}(X)\cap L^{t}(X)\subset L^{s}(X)$ for $1<r<s<t$?

If a subspace of $X^*$ separates points, is it weak-* dense?

Space of lipschitz functions form a Banach space

A vector without minimum norm in a Banach space

$C_0(X)$ is not the dual of a complete normed space

Banach-Stone Theorem

Weak-* sequential compactness and separability

Isomorphic embedding of $L^{p}(\Omega)$ into $L^{p}(\Omega \times \Omega)$?

Does there exist a Banach space with no complemented closed subspaces?

Renorming $\mathcal{B}(\mathcal{H})$?

Weakly compact implies bounded in norm [duplicate]

Integration in Banach spaces - interesting, nice and non-trivial examples needed

$L^1(μ)$ is finite dimensional if it is reflexive

The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product

Bounded linear operator maps norm-bounded, closed sets to closed sets. Implies closed range?