On the theorem of Kishi for a continuous function-kernel
Isao Higuchi, Masayuki Itô · Nagoya Mathematical Journal · 1974
In the potential theory with respect to a non-symmetric function-kernel, the following theorem is obtained by M. Kishi ([3]). Let X be a locally compact Hausdorff space and G be a lower semi-continuous function-kernel on X. Assume that G(x, x)>0 for any x in X and that G and the adjoint kernel Ğ of G satisfy “the continuity principle”.