(1) Dipartamento di Mathematica, Universitá di Bari, via E. Orabona, 4, 70125 Bari, Italy
Abstract:
In this paper we study a particular class of positive projections defined on an adapted subalgebra of continuous real-valued
functions. Among other things, we characterize the existence of such projections in terms of representing measures concentrated
on the Choquet boundary and we show their strong connection with the abstract Dirichlet problem. Finally we show how to construct
Korovkin subsets for such projections.
Mathematics Subject classification (2000): Primary:47B38, 47B65, 31C99. Secondary 46E25, 41A36.