Curves in Banach spaces which allow a C2-parameterization

被引：1

作者：

Duda, Jakub ^{[1
]}

Zajicek, Ludek ^{[2
]}

机构：

[1] PIRA Energy Grp, New York, NY 10016 USA

[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Karlin, Czech Republic

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2011年 / 83卷

关键词：

ALPHA-VARIATION; DIFFERENTIABILITY;

D O I：

10.1112/jlms/jdq100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete characterization of those f : [0, 1] --> X (where X is a Banach space that has a Frechet smooth norm) that allow an equivalent C-2 - parameterization. For X = R, a characterization is well known. However, even in the case X = R-2, several quite new ideas are needed. Moreover, the very close case of parameterizations with a bounded second derivative is solved.

引用

页码：733 / 754

页数：22

共 50 条

[1] Curves in Banach spaces which allow a C 1,BV parametrization or a parametrization with finite convexity
Duda, Jakub
Zajicek, Ludek
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (04) : 1057 - 1085
[2] Curves in Banach spaces which allow a C1,BV parametrization or a parametrization with finite convexity
Jakub Duda
Luděk Zajíček
Czechoslovak Mathematical Journal, 2013, 63 : 1057 - 1085
[3] Banach Spaces Which are Isometric to Subspaces of c0(Γ)
Li Xin CHENG
Jian Jian WANG
ActaMathematicaSinica,EnglishSeries, 2021, (08) : 1171 - 1178
[4] Banach Spaces Which are Isometric to Subspaces of c0(Γ)
Cheng, Li Xin
Wang, Jian Jian
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (08) : 1171 - 1178
[5] Banach Spaces Which are Isometric to Subspaces of c0(Γ)
Li Xin Cheng
Jian Jian Wang
Acta Mathematica Sinica, English Series, 2021, 37 : 1171 - 1178
[6] Banach spaces for which the space of operators has 2c closed ideals
Freeman, Daniel
Schlumprecht, Thomas
Zsak, Andras
FORUM OF MATHEMATICS SIGMA, 2021, 9
[7] BANACH-SPACES WHICH ARE ASPLUND SPACES
NAMIOKA, I
PHELPS, RR
DUKE MATHEMATICAL JOURNAL, 1975, 42 (04) : 735 - 750
[8] Weighted Bloch spaces which are Banach spaces
Nakazi T.
Rendiconti del Circolo Matematico di Palermo, 2013, 62 (3) : 427 - 440
[9] Banach spaces which are uniformly noncreasy
Department of Mathematics, M. Curie-Sklodowska Univ., 20-031 Lublin, Poland
Nonlinear Anal Theory Methods Appl, 4 (2317-2324):
[10] BANACH SPACES WHICH EMBED INTO THEIR DUAL
Capraro, Valerio
Rossi, Stefano
COLLOQUIUM MATHEMATICUM, 2011, 125 (02) : 289 - 293

← 1 2 3 4 5 →