Composition of operator ideals and their regular hulls
Frank Oertel
Abstract
Given two quasi-Banach ideals A and B we investigate the regular hull of their composition - (A B)reg. In concrete situations this regular hull appears more often than the composition itself. As a first example we obtain a description for the regular hull of the nuclear operators which is a "reflected" Grothendieck representation:\\ Nreg 1= I W (theorem 2.1). Further we recognize that the class of such ideals leads to interesting relations concerning the question of the accessibility of (injective) operator ideals.
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