Compact Groups of Operators on Subproportional Quotients of l1m
| Autor: | Piotr Mankiewicz |
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| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Canadian Journal of Mathematics. 52:999-1017 |
| ISSN: | 1496-4279 0008-414X |
| DOI: | 10.4153/cjm-2000-042-8 |
| Popis: | It is proved that a “typical” n-dimensional quotient Xn of l1m with n = mσ, 0 < σ < 1, has the propertyAverage for every compact group G of operators acting on Xn, where dG(T) stands for the normalizedHaar measure on G and the average is taken over all extreme points of the unit ball of Xn. Several consequences of this estimate are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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