4 problems

Absolutely continuous sufficiency conjecture. Under these assumptions, the conditions and are sufficient for $A$ to be similar to a selfadjoint operator.

Let ${\bf L}^n_0$, with $n\in\mathbb{N}$, be a self-adjoint extension of the minimal operator $L^n_{\scriptstyle \text{min}}$ on $L^2[(a,b),w]$, with deficiency indices $(m,m)$ whe…

Let ${\bf L}^n$ be a self-adjoint operator defined by left-definite theory on $L^2[(a,b),w]$ with domain $\mathcal{D}_{\bf L}^n$ that includes a complete system of orthogonal polyn…

Left-definite domain equality conjecture. For every $n\in\mathbb{N}$,