New posts in banach-spaces

Isomorphism of Banach spaces implies isomorphism of duals?

analysis functional-analysis banach-spaces

Definition of Equivalent Norms

general-topology analysis functional-analysis banach-spaces intuition

Weak convergence in reflexive Banach space

analysis functional-analysis banach-spaces weak-convergence

Possible flaw in "proof" that a sum of two compact operators is compact

functional-analysis operator-theory banach-spaces compact-operators

Is duality an exact functor on Banach spaces or Hilbert spaces?

abstract-algebra functional-analysis category-theory banach-spaces hilbert-spaces

Is the map sends $T$ to $T^*$ adjoint of $T$ surjective?

functional-analysis operator-theory banach-spaces adjoint-operators dual-spaces

Derivative Bilinear map

real-analysis analysis functional-analysis banach-spaces

Let $X,Y$ be Banach spaces and $\phi_n\in\mathcal{L}(X,Y)\backslash\{0\}$. Show $\{ x\in X: \phi_n(x)\ne 0,\forall n\in \mathbb{N}\}$ is dense in $X$

banach-spaces problem-solving

closed unit ball in a Banach space is closed in the weak topology

general-topology functional-analysis banach-spaces alternative-proof

Growth $\beta X\setminus X$ of a Banach space $X$

banach-spaces compactness

$C[0,1]$ doesn't contain a complemented subspace isomorphic to $l^1$

functional-analysis banach-spaces

On Pitt's theorem

functional-analysis banach-spaces operator-theory

A few questions about the Hilbert triple/Gelfand triple

functional-analysis banach-spaces hilbert-spaces

Can every closed subspace be realized as kernel of a bounded linear operator from a Banach space to itself?

functional-analysis operator-theory banach-spaces

Category of Banach spaces

functional-analysis category-theory banach-spaces

Dimension for a closed subspace of $C[0,1]$.

real-analysis functional-analysis banach-spaces

Let $X$ and $Y$ be Banach spaces, show that if they are isomorphic, then $X$ is reflexive iff $Y$ is reflexive.

analysis functional-analysis banach-spaces

A reflexive space which does not have an equivalent uniformly convex norm

functional-analysis reference-request banach-spaces examples-counterexamples

C*-algebras as Banach lattices?

functional-analysis banach-spaces c-star-algebras vector-lattices banach-lattices

Prove the dual space of $l^p$ is isomorphic to $l^q$ if $\frac{1}{q}+\frac{1}{p}=1$

functional-analysis banach-spaces lp-spaces dual-spaces