6 problems

Conjecture on P-measures in Silver models. There are no P-measures of countable Maharam type in the classical Silver model or in the model obtained by the side-by-side product of S…

Weak amenability conjecture. The Banach algebra $M(G)$ is weakly amenable if and only if $G$ is discrete; equivalently, zero is the only continuous point derivation of $M(G)$ at a…

Let $G$ be a Hermitian locally compact group, let $\widehat{G}$ denote its irreducible representations, and for $\pi\in\widehat{G}$ and a unit vector $\xi\in\mathcal{H}_\pi$ define…

Let $G$ be a Hermitian locally compact group. For a representation $pi$ of $G$ and a unit vector $xi$ in its representation space $\mathcal{H}_pi$, define … and, for $f\in L^1(G)$,…

Spectrally reasonable measures conjecture.

Let ${\cal G}$ be a locally compact group, and let $M({\cal G})$ denote its measure algebra. Write $M({\cal G})^{**}$ for its second dual. Lau's conjecture. The Banach algebra…