7 problems

Let ${\mathsf D}_\omega$ be the Dirac operator on the cone ${\mathcal C}_\omega$ with aperture angle $\omega$, defined by the MIT bag boundary condition. For $\omega\in(0,\pi/2)$,…

Let $K$ be an abstract Klein-Gordon operator on $L^2(\mathbb{R},\mathcal K)$, and let $R_z(t,s)$ and $\mathcal Z_{\pm,z}^{(\pm)}(t)$ be the evolution and asymptotic subspaces defin…

Let $K$ be an abstract Klein-Gordon operator on $L^2(\mathbb{R},\mathcal K)$, and suppose it is asymptotically stationary and stable, with the additional conditions imposed in the…

Let $I=\mathbb{R}$ and let $K$ be an abstract Klein-Gordon operator acting on $L^2(\mathbb{R},\mathcal K)$, with Feynman and anti-Feynman inverses defined for the asymptotically st…

Let $I=]t_-,t_+[$ or $I=\mathbb{R}$, let $\mathcal K$ be a Hilbert space, and let $K$ be an abstract Klein-Gordon operator of the form … acting on $L^2(I,\mathcal K)$. In the case…

Non-Riemannian point conjecture. If $q_0$ is not Riemannian, then the pointed Laplace operator is not essentially self-adjoint.

Let $G$ be a locally finite unoriented simple graph, and let $A_G$ denote its adjacency matrix, viewed as a symmetric operator on the complex Hilbert space of square-summable funct…