Positive bilinear operators in Calderón-Lozanovskij spaces (Q1423758)

A generalization of an abstract Hölder-Rogers inequality for positive bilinear operators is proved and an interpolation theorem for positive bilinear operators between Calderón-Lozanovskiĭ spaces is proved under the assumpton that the parameter functions generating those spaces satisfy a generalized \(c\)-submultiplicativity condition.