Abstract:
The article shows that a continuous projector $P: E \rightarrow E$ in a nuclear Köthe space $E$ is similar to a projector $P'$ with the following property: the intersection of $P'(E)$ with the space of finite numerical sequences is dense in $P'(E)$.
Key words and phrases:Riemann zeta function, Riemann hypothesis, Montgomery's pair correlation conjecture, selfadjoint operators, finite-rank perturbations, compact perturbations, sine kernel determinantal process, Gaussian Unitary Ensemble (GUE), modified Bessel functions, Hilbert–Pólya operator, spectral theory, zeros of the zeta function.
Fulltext:
PDF file (369 kB)