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RESEARCH PRODUCT
The Bishop–Phelps–Bollobás property for operators from c0 into some Banach spaces
Domingo GarcíaMaría D. AcostaManuel MaestreSun Kwang Kimsubject
Discrete mathematicsMathematics::Functional AnalysisApproximation propertyApplied Mathematics010102 general mathematicsEberlein–Šmulian theoremBanach spaceUniformly convex spaceBanach manifoldFinite-rank operator01 natural sciences010101 applied mathematicsCombinatoricsInterpolation space0101 mathematicsLp spaceAnalysisMathematicsdescription
Abstract We exhibit a new class of Banach spaces Y such that the pair ( c 0 , Y ) has the Bishop–Phelps–Bollobas property for operators. This class contains uniformly convex Banach spaces and spaces with the property β of Lindenstrauss. We also provide new examples of spaces in this class.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Journal of Mathematical Analysis and Applications |