Rough norms in spaces of operators
| Autor: | Haller, Rainis, Langemets, Johann, Põldvere, Märt |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We investigate sufficient and necessary conditions for the space of bounded linear operators between two Banach spaces to be rough or average rough. Our main result is that $\mathcal L(X,Y)$ is $\delta$-average rough whenever $X^\ast$ is $\delta$-average rough and $Y$ is alternatively octahedral. This allows us to give a unified improvement of two theorems by Becerra Guerrero, L\'opez-P\'erez, and Rueda Zoca [J. Math. Anal. Appl. 427 (2015)]. Comment: 13 pages |
| Databáze: | arXiv |
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