Ideals of Operators in Banach Spaces

In a sense, the theory of ideals of operators in Banach spaces we are going to discuss now in some of its aspects can be looked at as an outgrow of part of A. Grothendieck’s work on topological tensor products. The setting is due to A. Pietsch (see[5]) and provides a powerful and convenient tool in both the local theory of Banach spaces and the study of particular classes of locally convex spaces. We shall deal with the latter topic in Chapter 21 below.