On the C-farthest points.
Abdelhakim Maaden (2001)
Extracta Mathematicae
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Abdelhakim Maaden (2001)
Extracta Mathematicae
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Two properties concerning the space of differences of sublinear functions D(X) for a real Banach space X are proved. First, we show that for a real separable Banach space (X,‖·‖) there exists a countable family of seminorms such that D(X) becomes a Fréchet space. For X = ℝ^n this construction yields a norm such that D(ℝ^n) becomes a Banach space. Furthermore, we show that for a real Banach space with a smooth dual every sublinear Lipschitzian function can be expressed by the Fenchel...
Saksman, Eero, Tylli, Hans-Olav (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Branislav Mijajlović (2006)
Kragujevac Journal of Mathematics
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