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On norm-attaining functionals. (English) Zbl 1175.46008
Summary: This is a short survey on norm-attaining functionals. The first part deals with some basic facts, mostly known. We streamline the proofs trying to convey some geometrical intuition. The second part focuses on some new facts concerning a problem of Namioka on renormings and norm-attaining functionals.
MSC:
46B04 Isometric theory of Banach spaces
46B03 Isomorphic theory (including renorming) of Banach spaces
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
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