  In the previous paper [7], we introduced a notion of pairs of adelic
R-Cartier divisors and R-base conditions. The purpose of this paper is to
propose an extended notion of adelic R-Cartier divisors that we call an
l1-adelic R-Cartier divisors, and to show that the arithmetic volume function
defined on the space of pairs of l1-adelic R-Cartier divisors and R-base
conditions is continuous along the directions of l1-adelic R-Cartier divisors.
