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Title: | A norm for Tsirelson's Banach space |
Authors: | Ojeda Aristizabal, Diana |
Keywords: | Dual Tsirelson space;Dual mixed Tsirelson spaces;Espacio dual de Tsirelson;Espacios dobles mixtos de Tsirelson |
Issue Date: | 2013 |
Publisher: | Universidad de Extremadura |
Abstract: | We give an expression for the norm of the space constructed by Tsirelson. The implicit equation satisfied by this norm is dual to the implicit equation for the norm of the dual of Tsirelson space given by Figiel and Johnson. The expression can be modified to give the norm of the dual of any mixed Tsirelson space. In particular, our results can be adapted to give the norm for the dual of Schlumprecht space. |
URI: | http://hdl.handle.net/10662/10278 |
Appears in Collections: | Extracta Mathematicae Vol. 28, nº 2 (2013) |
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2605-5686_28_2_235.pdf | 105,61 kB | Adobe PDF | View/Open |
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