On the Fréchet differentiability of distance functions
Zajíček, L.
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Zajíček, L.
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Luděk Zajíček (2014)
Commentationes Mathematicae Universitatis Carolinae
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We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on -almost everywhere Fréchet differentiability of Lipschitz functions on (and similar Banach spaces). For example, in these spaces, every continuous real function is Fréchet differentiable at -almost every at which it is Gâteaux differentiable. Another interesting consequences say that both cone-monotone functions and continuous quasiconvex functions on these spaces are -almost everywhere Fréchet...
Deville, Robert (2005)
Abstract and Applied Analysis
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Luděk Zajíček (1991)
Czechoslovak Mathematical Journal
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