Pietsch’s variants of s-numbers for multilinear operators

Abstract We study variants of s -numbers in the context multilinear operators. The notion an $$s^{(k)}$$ s ( k ) -scale k -linear operators is defined. In particular, we shall deal with -scales approximation, Gelfand, Hilbert, Kolmogorov and Weyl numbers. investigate whether fundamental properties important linear are inherited to case. prove relationships among some their corresponding classical Pietsch’s a generalized Banach dual operator, from range space forms, on product domain spaces given operator.