1. On an inclusion between operator ideals
- Creator:
- Fugarolas, Manuel A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- operator ideals and $s$-numbers
- Language:
- English
- Description:
- Let $ 1\leq q <p < \infty $ and $1/r := 1/p \max (q/2, 1)$. We prove that ${\scr L}_{r,p}^{(c)}$, the ideal of operators of Geľfand type $l_{r,p}$, is contained in the ideal $\Pi _{p,q}$ of $(p,q)$-absolutely summing operators. For $q>2$ this generalizes a result of G. Bennett given for operators on a Hilbert space.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public