EQUIVALENT NORMS WITH AN EXTREMELY NONLINEABLE SET OF NORM ATTAINING FUNCTIONALS
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DOI: 10.1017/s1474748018000087
Abstract: We present a construction that enables one to find Banach spaces $X$ whose sets $\operatorname{NA}(X)$ of norm attaining functionals do not contain two-dimensional subspaces and such that, consequently, $X$ does not contain proximinal subspaces of… read more here.
Keywords: equivalent norms; attaining functionals; norm attaining; banach spaces ... See more keywords
On sup- and inf-attaining functionals
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DOI: 10.1515/math-2024-0090
Abstract: Abstract Reflexivity is characterized by the weak-compactness of the unit ball. The weak-compactness of bounded, closed, and convex sets is characterized through sup-attaining functionals in view of the famous James’ theorem. The aim of this… read more here.
Keywords: attaining functionals; sup inf; inf attaining;