  The paper is concerned with compact bilinear operators on asymmetric normed
spaces. One proves a Schauder type theorem on the compactness of the conjugate
of a compact bilinear operator and one studies the ideal properties of spaces
of compact bilinear operators. These extend some results of Ramanujan and
Schock, Linear and Multilinear Algebra (1985), and Ruch, ibid. (1989), on
compact bilinear operators on Banach spaces. The study of multilinear operators
on asymmetric normed spaces was initiated by Latreche and Dahia, Colloq. Math.
(2020).
