Abstract
We show that the space of bounded linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollobás property. A similar result is also proved for the class of compact operators from the space of continuous functions vanishing at infinity on a locally compact and Hausdorff topological space into a uniformly convex space, and for the class of compact operators from a Banach space into a predual of an L1-space.
Original language | English |
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Pages (from-to) | 323-332 |
Number of pages | 10 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 95 |
DOIs | |
State | Published - 2014 |
Keywords
- Banach space
- Bishop-Phelps theorem
- Bishop-Phelps-Bollobás theorem
- Norm-attaining operators
- Optimization