On convex functions in c0(w1).

Petr Hájek

Collectanea Mathematica (1996)

  • Volume: 47, Issue: 2, page 111-115
  • ISSN: 0010-0757

Abstract

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It is proved that no convex and Fréchet differentiable function on c0(w1), whose derivative is locally uniformly continuous, attains its minimum at a unique point.

How to cite

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Hájek, Petr. "On convex functions in c0(w1).." Collectanea Mathematica 47.2 (1996): 111-115. <http://eudml.org/doc/40284>.

@article{Hájek1996,
abstract = {It is proved that no convex and Fréchet differentiable function on c0(w1), whose derivative is locally uniformly continuous, attains its minimum at a unique point.},
author = {Hájek, Petr},
journal = {Collectanea Mathematica},
keywords = {Funciones convexas; Espacios de funciones diferenciables; Espacios de Frechet; convex functions; Fréchet differentiable function; locally uniformly continuous},
language = {eng},
number = {2},
pages = {111-115},
title = {On convex functions in c0(w1).},
url = {http://eudml.org/doc/40284},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Hájek, Petr
TI - On convex functions in c0(w1).
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 2
SP - 111
EP - 115
AB - It is proved that no convex and Fréchet differentiable function on c0(w1), whose derivative is locally uniformly continuous, attains its minimum at a unique point.
LA - eng
KW - Funciones convexas; Espacios de funciones diferenciables; Espacios de Frechet; convex functions; Fréchet differentiable function; locally uniformly continuous
UR - http://eudml.org/doc/40284
ER -

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