Temat: convex body - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Hedgehogs of constant width and equichordal points
Autorzy:: Martinez-Maure, Yves
Powiązania:: https://bibliotekanauki.pl/articles/1294618.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: convex body
hypersurface
pedal
equichordal
hedgehog
Opis:: We give a characterization of convex hypersurfaces with an equichordal point in terms of hedgehogs of constant width.
Źródło:: Annales Polonici Mathematici; 1997, 67, 3; 285-288
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Rotundity and smoothness of convex bodies in reflexive and nonreflexive spaces
Autorzy:: Klee, Victor
Veselý, Libor
Zanco, Clemente
Powiązania:: https://bibliotekanauki.pl/articles/1287312.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: normed linear space
reflexive
convex body
smooth
rotund
strictly convex
vector sum
convex hull
stability
Opis:: For combining two convex bodies C and D to produce a third body, two of the most important ways are the operation ∓ of forming the closure of the vector sum C+D and the operation γ̅ of forming the closure of the convex hull of C ⋃ D. When the containing normed linear space X is reflexive, it follows from weak compactness that the vector sum and the convex hull are already closed, and from this it follows that the class of all rotund bodies in X is stable with respect to the operation ∓ and the class of all smooth bodies in X is stable with respect to both ∓ and γ̅. In our paper it is shown that when X is separable, these stability properties of rotundity (resp. smoothness) are actually equivalent to the reflexivity of X. The characterizations remain valid for each nonseparable X that contains a rotund (resp. smooth) body.
Źródło:: Studia Mathematica; 1996, 120, 3; 191-204
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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