2001/08/18 by Frank Oertel, Oertel, Frank
Mathematics · #46A32 #46B07 #46B10 #46B28 (secondary) #46M05 #47L20 (primary) #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46A32 #msc:46B07 #msc:46B10 #msc:46B28 #msc:46M05 #msc:47L20
paper · pdf · doi:10.48550/arxiv.math/0108123
arxiv created 2001/08/18 · openalex publication_date 2001/08/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate quasi-Banach operator ideal products (\frakA∘\frakB,A∘ B) which contain (\frakL2, L2) as a factor. In particular, we ask for conditions which guarantee that A∘ B is even a norm if each factor of the product is a 1-Banach ideal. In doing so, we reveal the strong influence of the existence of such a norm in relation to the accessibility of the product ideal and the structure of its factors.