Absolutely Summing Terraced Matrices
| Autor: | Almasri Ibrahim |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Concrete Operators, Vol 3, Iss 1, Pp 1-7 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2299-3282 |
| DOI: | 10.1515/conop-2016-0001 |
| Popis: | Let α > 0. By Cα we mean the terraced matrix defined by if 1 ≤ k ≤ n and 0 if k > n. In this paper, we show that a necessary and sufficient condition for the induced operator on lp, to be p-summing, is α > 1; 1 ≤ p < ∞. When the more general terraced matrix B, defined by bnk = βn if 1 ≤ k ≤ n and 0 if k > n, is considered, the necessary and sufficient condition turns out to be in the region 1/p + 1/q ≤ 1. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|