Integral operators generated by Mercer-like kernels on topological spaces
Mario Henrique de Castro, V. A. Menegatto, Ana Paula Perón · Colloquium Mathematicum · 2012
We analyze some aspects of Mercer's theory when the integral operators act on $L^2(X,\sigma )$, where $X$ is a first countable topological space and $\sigma $ is a non-degenerate measure. We obtain results akin to the well-known Mercer's theorem and, unde