1996/04/24 by Frank Oertel, Oertel, Frank
Mathematics · #46M05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46M05
paper · pdf · doi:10.48550/arxiv.math/9604219
arxiv created 1996/04/24 · openalex publication_date 1996/04/24 · arxiv updated 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given two quasi-Banach ideals \oidA and \oidB we investigate the regular hull of their composition - (\oidA ∘ \oidB)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: \oidNreg \stackrel1= \oidI ∘ \oidW (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.