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http://hdl.handle.net/10662/12889
| Title: | Ordinal Ranks on Weakly Compact and Rosenthal Operators |
| Authors: | Beanland, Kevin Freeman, Daniel |
| Keywords: | Weakly compact operators;Ordinal ranks;Operadores débilmente compactos;Rangos ordinales |
| Issue Date: | 2011 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | Using the Schreier families (Sξ) ξ<ω₁ , we define subclasses of weakly compact and Rosenthal operators between two Banach spaces. These subclasses give rise to ordinal ranks defined on each ideal. We prove several results concerning the analytic properties of this rank and give examples of spaces on which the ranks are bounded and unbounded. |
| URI: | http://hdl.handle.net/10662/12889 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 26, nº 2 (2011) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_26_2_173.pdf | 151,8 kB | Adobe PDF | View/Open |
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