REMARKS ON THE RIESZ-KANTOROVICH FORMULA

Abstract. The Riesz-Kantorovich formula expresses (under cer-tain assumptions) the supremum of two operators S, T: X → Y where X and Y are ordered linear spaces as S ∨ T (x) = sup 06y6x [S(y) + T (x − y)]. We explore some conditions that are sufficient for its validity, which enables us to get extensions of known results characterizing lattice and decomposition properties of certain spaces of order bounded linear operators between X and Y. Ordered linear spaces, and especially Banach lattices, and various classes of linear operators between them, play an important part in modern functional analysis (see, e. g., [3]) and have significant appli-cations to mathematical economics (see, e. g., [9], [10]). The followin