Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

Abstract

In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space E ̂⊗∈F into a Banach space G which we call (q, p, F)-mixing. In particular, we extend the notion of (q, p, E)-summing operators which is a special case of (q, p, F)-mixing operators to Lipschitz case by studying their properties and showing some results for this notion.

Keywords

• (q,p,f)-mixing
• lipschitz operators
• lipschitz p-summing operators
• lipschitz (q,p,e)-summing
• primary 46b28, 46t99
• secondary 47h99, 47l20