New posts in banach-spaces

Gelfand Triples / Rigged Hilbert Spaces - Reflexivity necessary?

functional-analysis partial-differential-equations hilbert-spaces banach-spaces adjoint-operators

Is a completion of an algebraically closed field with respect to a norm also algebraically closed?

abstract-algebra field-theory normed-spaces banach-spaces

Show that the operator is invertible

functional-analysis operator-theory banach-spaces normed-spaces

space of bounded measurable functions

measure-theory functional-analysis banach-spaces

Is there such a mapping that is open mapping.

banach-spaces open-map

Equivalent definitions of Injective Banach Spaces

banach-spaces

Image of unit ball dense under continuous map between banach spaces

analysis functional-analysis vector-spaces banach-spaces

Linear combinations of delta measures

functional-analysis measure-theory banach-spaces

Prove that the normed space $L^{\infty}$ equipped with $\lVert\cdot\rVert_{\infty}$ is complete. [duplicate]

real-analysis measure-theory banach-spaces

Example of application of Komlós theorem

probability measure-theory hilbert-spaces banach-spaces

Infinite dimensional constant rank theorem

reference-request differential-geometry banach-spaces manifolds

Given $T \in L(X,Y)$, show the equivalence between: existence of $S$ such that $S(T(x))=x$, and $T$ being injective with $T(X)$ complemented in $Y$

functional-analysis linear-transformations banach-spaces normed-spaces complete-spaces

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

functional-analysis banach-spaces normed-spaces compact-operators

If $T:L^p[0,1] \to L^p[0,1]$ bounded for $1 < p < \infty$ with continuous image, then it's compact

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

Does existence of a non-continuous linear functional depend on Axiom of Choice?

functional-analysis vector-spaces banach-spaces axiom-of-choice

Kernel of $T$ is closed iff $T$ is continuous

functional-analysis banach-spaces

is bounded linear operator necessarily continuous?

functional-analysis partial-differential-equations operator-theory banach-spaces

The Principle of Condensation of Singularities

functional-analysis banach-spaces operator-theory normed-spaces baire-category

how to construct an absolutely convergent series which is not convergent in the space $(C[a, b], ||•||_1) $?

functional-analysis banach-spaces normed-spaces

How to prove this inequality in Banach space?

functional-analysis banach-spaces