Interpolative construction and factorization of operators (Q1941344)

The authors investigate Banach operator ideals generated via an interpolative approach determined by quasi-concave functions. A variant of the Pisier factorization theorem for \(\left( p,1\right) \)-summing operators defined on \(C(K)\) spaces is one of the several interesting results of the paper. In the final section, the authors introduce the notion of \(\left( \varphi ,\psi\right) \)-concave operators and obtain connections between \(\left( \varphi,\psi\right) \)-summing and \(\left( \varphi,\psi\right) \)-concave operators. Some classical results are lifted to this generalized setting.