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- W2783455918 abstract "The following strengthening of the Elton-Odell theorem on the existence of a $(1+epsilon)-$separated sequences in the unit sphere $S_X$ of an infinite dimensional Banach space $X$ is proved: There exists an infinite subset $Ssubseteq S_X$ and a constant $d>1$, satisfying the property that for every $x,yin S$ with $xneq y$ there exists $fin B_{X^*}$ such that $dleq f(x)-f(y)$ and $f(y)leq f(z)leq f(x)$, for all $zin S$." @default.
- W2783455918 created "2018-01-26" @default.
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- W2783455918 date "2018-01-06" @default.
- W2783455918 modified "2023-09-27" @default.
- W2783455918 title "Antipodal sets in infinite dimensional Banach spaces" @default.
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