O dual de um ideal de operadores e ideais de operadores simétricos entre espaços de Banach

Abstract

The main goal of this dissertation is to study the dual of an ideal of operators (in the sense of Pietsch [22]) between Banach spaces. We begin studying general properties and basic examples of operator ideals. Next we introduce and explore the dual of an operator ideal. Ideals that are injective and/or surjective and compostion ideals are also studied, as well as their connections with the notion of dual ideal. In this investigation we present examples of ideals which are simultaneously symmetric and anti-symmetric (completely symmetric), ideals which are neither symmetric nor anti-symmetric, symmetric non-antisymmetric ideals and anti-symmetric non-symmetric ideals.