Further results on strictly Lipschitz summing operators

Abstract

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

Keywords

• strictly lipschitz p-summing
• m-strictly lipschitz p-summing
• lipschitz p-summing operators
• strictly lipschitz p-nuclear
• strictly lipschitz (p,r,s)-summing operators
• p-summing operators
• strongly p-summing operators
• pietsch factorization
• factorization theorems
• 47b10
• 46b28
• 47l20