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arXiv · 1905.12972

Bishop-Phelps-Bollob\'as property for positive operators between classical Banach spaces

María D. Acosta·Maryam Soleimani-Mourchehkhorti
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Abstract

We prove that the class of positive operators from $L_\infty (\mu)$ to $L_1 (\nu)$ has the Bishop-Phelps-Bollob\'as property for any positive measures $\mu$ and $\nu$. 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\'as property for positive operators.

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María D. Acosta, Maryam Soleimani-Mourchehkhorti. 2019-05-30. Bishop-Phelps-Bollob\'as property for positive operators between classical Banach spaces. https://doi.org/10.1515/9783110656756

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