Sur les operateurs linéaires latticiellement sommant

Abstract

The purpose of this thesis is to make a detailed study of a work by Mr. Jerzy SZULGA in 1983 entitled " On lattice summing operators " published in the AMS journal where he gave necessary and su¢ cient conditions for the new type of lattice summing operators and Banach space of start X and cel of arrivals Y which is a lattice Banach space. So that any lattice summing operator T : X ! Y is absolutely summing