Some remarks on minimum norm attaining operators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124492
Abstract: Abstract In this paper we investigate continuous linear operators between Banach spaces which attain their minimum norms on the unit sphere. We characterize finite dimensionality of Banach spaces with the help of minimum norm attainment… read more here.
Keywords: minimum norm; norm attaining; continuous linear; attaining operators ... See more keywords
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