Let X and Y be Banach spaces. A set ᏹ of 1-summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1-summing sequence (x n) in X, the series n T x n is uniformly convergent in T ∈ ᏹ. We study some general properties and obtain a characterization of these sets when ᏹ is a set of operators defined on spaces of continuous functions.

Abstract The aim of this paper is to give some new characterizations strictly Lipschitz p -summing operators. These operators have been introduced in order improve the Therefore, we adapt definition for constructing other classes mappings which are called -nuclear and ( , r s )-summing Some interesting properties factorization results obtained these classes.