New posts in banach-spaces

Closure of the invertible operators on a Banach space

functional-analysis banach-spaces operator-theory banach-algebras

Space of bounded functions is reflexive if the domain is finite

functional-analysis banach-spaces

Prove $\mathrm{codim}(\mathrm{Im}(I+K))<\infty$ for a compact operator

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

Dual space of the space of finite measures

measure-theory functional-analysis probability-theory banach-spaces

Nested sequences of balls in a Banach space

geometry functional-analysis metric-spaces banach-spaces

Question about Fredholm operator

functional-analysis banach-spaces operator-theory

Non-closed subspace of a Banach space

banach-spaces

Compactness of a bounded operator $T\colon c_0 \to \ell^1$

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

If every absolutely convergent series is convergent then $X$ is Banach

functional-analysis banach-spaces normed-spaces absolute-convergence

Direct approach to the Closed Graph Theorem

functional-analysis banach-spaces alternative-proof

Is this operator bounded and closed?

functional-analysis hilbert-spaces banach-spaces unbounded-operators closed-graph

How to show the completeness of the following subset of $\ell^2$?

functional-analysis hilbert-spaces banach-spaces complete-spaces

Examples of compact sets that are infinite dimensional and not bounded

functional-analysis banach-spaces compactness examples-counterexamples normed-spaces

On the weak closure

functional-analysis banach-spaces

Understanding Riesz's functional calculus

functional-analysis banach-spaces banach-algebras functional-calculus

Proof of "Dual normed vector space is complete"

banach-spaces normed-spaces

Where does the theory of Banach space-valued holomorphic functions differ from the classical treatment?

complex-analysis banach-spaces

Is there a notion of a continuous basis of a Banach space?

functional-analysis banach-spaces distribution-theory bochner-spaces schauder-basis

The space of Riemannian metrics on a given manifold.

functional-analysis differential-geometry banach-spaces riemannian-geometry

Why is $\ell^1(\mathbb{Z})$ not a $C^{*}$-algebra?

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