2 problems

Let $X_1,\ldots,X_r$ be spectral operators in the sense of Dunford on separable Hilbert spaces $\mathcal{H}_1,\ldots,\mathcal{H}_r$. Assume there are positive self-adjoint operator…

Let $d523=d523_c$ be the spectral operator for $0<c<1/2$, with domain $D(d523)=d539_c$. Let $d707=d707(n)$ denote the Möbius function, and let $n^{-d45f}$ denote the corresponding…