Composition of operator ideals and their regular hulls
Functional Analysis
2016-09-06 v1
Abstract
Given two quasi-Banach ideals \oid{A}{}{} and \oid{B}{}{} we investigate the regular hull of their composition - . 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:\\ (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.
Keywords
Cite
@article{arxiv.math/9604219,
title = {Composition of operator ideals and their regular hulls},
author = {Frank Oertel},
journal= {arXiv preprint arXiv:math/9604219},
year = {2016}
}