New posts in Functional Analysis

A characterization of Weak Convergence in $L^p$ spaces

Mathematically rigorous Quantum Mechanics

Pointwise multiplication by unbounded function throws us out of $L^2(\mu)$

A sufficient and necessary condition for a special linear operator to be compact

Show that $B(X,Y^*)$ and $B(Y,X^*)$ are isometrically isomorphic.

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

Alternative proof of Taylor's formula by only using the linear approximation property

Showing that $0\leq A\leq B$ and $B \in \mathcal{L}_c(H)$ implies that $A \in \mathcal{L}_c(H)$.

Commutative unital Banach algebra not isomorphic to $C(X)$ for some compact Hausdorff space $X$

Inverse functional derivatives: Find a functional whose functional derivative is a given function