Temat: rotund - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On CLUR points of Orlicz spaces
Autorzy:: Wang, Quandi
Zhao, Liang
Wang, Tingfu
Powiązania:: https://bibliotekanauki.pl/articles/1208023.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Orlicz spaces
compactly locally uniformly rotund
Opis:: Criteria for compactly locally uniformly rotund points in Orlicz spaces are given.
Źródło:: Annales Polonici Mathematici; 2000, 73, 2; 147-157
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On strong proximinality in normed linear spaces
Autorzy:: Gupta, Sahil
Narang, T. D.
Powiązania:: https://bibliotekanauki.pl/articles/747002.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Strongly proximinal set
approximatively compact set
strongly Chebyshev set
compactly locally uniformly rotund space
Opis:: The paper deals with strong proximinality in normed linear spaces. It is proved that in a compactly locally uniformly rotund Banach space, proximinality, strong proximinality, weak approximative compactness and approximative compactness are all equivalent for closed convex sets. How strong proximinality can be transmitted to and from quotient spaces has also been discussed.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2016, 70, 1
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

Informacja