New posts in functional-analysis

"bounding" an unbounded operator

What is the functional derivative?

Integral of the derivative of a function of bounded variation

Example of a function in $L^2(\mathbb{R})$ with derivative not in $L^2(\mathbb{R})$.

Why the weak topology is never metrizable?

Riesz Representation Theorem for $\ell^p$

Finding the topological complement of a finite dimensional subspace

Applications of Banach Algebras and Operator Algebras

On a manifold, is the $L^p$ space of vector fields complete?

An operator has closed range if and only if the image of some closed subspace of finite codimension is closed.

What is the relation between Locally Compact Hausdorff Spaces and Complete Separable Metric Spaces?

$\|T\| \leq\|T\|_{0}^{1 / 2}\left\|T^{*}\right\|_{0}^{1 / 2}$ for compact operators on Hilbert spaces.

Range of bounded operator is of first category

Understanding Elliptic Operators

Weak* convergence in $L^\infty$ and the strong convergence in $L^2$ of a mollification?

The set of all normal operators on a Hilbert space is not strongly closed

A sequence that converges weakly but not in the Cesàro sense

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

Hamel Dimension of Infinite Dimensional Separable Banach Space

Show that $c_0$ is a Banach space with the norm $\rVert \cdot \lVert_\infty$