Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614167 | Journal of Mathematical Analysis and Applications | 2016 | 12 Pages |
Abstract
In this paper we study ℓpℓp-related collections of operators introduced by Beanland and Freeman in [6], on the subject of forming operator ideals. We show that these collections are not always closed under addition, and hence do not form operator ideals. Nevertheless, they allow us to construct an uncountable chain of closed ideals in each of the operator algebras L(ℓ1⊕ℓq)L(ℓ1⊕ℓq), 1
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gleb Sirotkin, Ben Wallis,