- Tytuł:
- Averages of uniformly continuous retractions
- Autorzy:
-
Jiménez-Vargas, A.
Mena-Jurado, J.
Nahum, R.
Navarro-Pascual, J. - Powiązania:
- https://bibliotekanauki.pl/articles/1217171.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
uniformly retraction
Lipschitz retraction
extreme point - Opis:
- Let X be an infinite-dimensional complex normed space, and let B and S be its closed unit ball and unit sphere, respectively. We prove that the identity map on B can be expressed as an average of three uniformly retractions of B onto S. Moreover, for every 0≤ r < 1, the three retractions are Lipschitz on rB. We also show that a stronger version where the retractions are required to be Lipschitz does not hold.
- Źródło:
-
Studia Mathematica; 1999, 135, 1; 75-81
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł