Compact bilinear operators on asymmetric normed spaces

The paper is concerned with compact bilinear operators on asymmetric normed spaces. study of multilinear spaces was initiated by Latreche and Dahia (2020) [24]. We go further in this direction prove a Schauder type theorem the compactness adjoint operator ideal properties operators. These extend some results Ramanujan Schock (1985) [34], Ruch (1989) [36], Banach On space forms one introduces analog weak?-topology, called w2-topology, proves an Alaoglu-Bourbaki – w2-compactness closed unit ball.