Szlenk Index, Upper Estimates, and Embedding in Banach Spaces
| dc.contributor | Schlumprecht, Thomas | |
| dc.contributor | Paouris, Grigoris | |
| dc.creator | Causey, Ryan Michael | |
| dc.date.accessioned | 2015-02-05T20:59:18Z | |
| dc.date.accessioned | 2017-04-07T20:12:20Z | |
| dc.date.available | 2015-02-05T20:59:18Z | |
| dc.date.available | 2017-04-07T20:12:20Z | |
| dc.date.created | 2014-08 | |
| dc.date.issued | 2014-08-07 | |
| dc.description.abstract | We investigate the relationship between two notions, one which refers to a coordinate system and one which does not, of asymptotic domination by subsequences of a fixed basis. We use this relationship to prove the existence of a universal space with a coordinate system satisfying this asymptotic domination condition. Last, we relate this asymptotic domination notion to the Szlenk index and prove a result concerning the existence of a universal space for classes determined by Szlenk index. Each of these results also has a corresponding result for reflexive spaces. | |
| dc.identifier.uri | http://hdl.handle.net/1969.1/153593 | |
| dc.language.iso | en | |
| dc.subject | Functional analysis | |
| dc.subject | Banach space | |
| dc.title | Szlenk Index, Upper Estimates, and Embedding in Banach Spaces | |
| dc.type | Thesis |