Bishop-Phelps-Bollob��s property for positive operators between classical Banach spaces
| Autor: | Acosta, Mar��a D., Soleimani-Mourchehkhorti, Maryam |
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| Rok vydání: | 2019 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1905.12972 |
| Popis: | We prove that the class of positive operators from $L_\infty (��)$ to $L_1 (��)$ has the Bishop-Phelps-Bollob��s property for any positive measures $��$ and $��$. The same result also holds for the pair $(c_0, \ell_1)$. We also provide an example showing that not every pair of Banach lattices satisfies the Bishop-Phelps-Bollob��s property for positive operators. 13 pages |
| Databáze: | OpenAIRE |
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