Boundaries and polyhedral Banach spaces
Copyright policy )Boundaries and polyhedral Banach spaces
We show that if X X and Y Y are Banach spaces, where Y Y is separable and polyhedral, and if T : X → Y T:X\to Y is a bounded linear operator such that T ∗ ( Y ∗ ) T^*(Y^*) contains a boundary B B of X X , then X X is separable and isomorphic to a polyhedral space. Some corollaries of this result are presented.
- Bulgarian Academy of Sciences Bulgaria
- University College Dublin Ireland
- Institute of Mathematics and Informatics Bulgaria
- University of Murcia Spain
- Ben-Gurion University of the Negev Israel
Mathematics - Functional Analysis, 46B20, Isomorphic theory (including renorming) of Banach spaces, Geometry and structure of normed linear spaces, FOS: Mathematics, polyhedral space, renorming, boundary, Functional Analysis (math.FA)
Mathematics - Functional Analysis, 46B20, Isomorphic theory (including renorming) of Banach spaces, Geometry and structure of normed linear spaces, FOS: Mathematics, polyhedral space, renorming, boundary, Functional Analysis (math.FA)
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