On nuclear and multiple summing bilinear operators on c0 × c0

Abstract

In this paper we study the connections between the nuclear operators and the multiple summing bilinear ones defined on c₀ × c₀. We also give an example of a bilinear operator on c₀ × c₀, for which the condition to be nuclear and multiple p-summing is connected to vector-valued sequence spaces.

Keywords: Bilinear nuclear operator; multiple summing operator

Quaestiones Mathematicae 33(2010), 253–261