3 problems

Fine-spectrum and compactness conjecture. The operator $\mathcal{C}_t$ is compact on $X$, and its point, continuous and residual spectra are respectively

For $1<p\leq\infty$ and $0<\beta\leq 1$, define … The curve $\Gamma_{2,\beta}$ is contained in the circle centered at $1$ with radius $1$ and intersects the real axis only at $0$ a…

Let $M\in\mathcal{B}(\ell^2)$ be the generalized Cesàro matrix of order two with parameter $\alpha$. Hyponormality conjecture. The operator $M$ is also hyponormal for…