Two applications of smoothness in C(K) spaces

Matías Raja. "Two applications of smoothness in C(K) spaces." Studia Mathematica 225.1 (2014): 1-7. <http://eudml.org/doc/286313>.

@article{MatíasRaja2014,
abstract = {A simple observation about embeddings of smooth Banach spaces into C(K) spaces allows us to construct a parametrization of the separable Banach spaces using closed subsets of the interval [0,1]. The same idea is applied to the study of the isometric embedding of $ℓ_\{p\}$ spaces into certain C(K) spaces with the additional condition that the functions of the image must be Lipschitz with respect to a fixed finer metric on K. The feasibility of that kind of embeddings is related to Szlenk indices.},
author = {Matías Raja},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {1-7},
title = {Two applications of smoothness in C(K) spaces},
url = {http://eudml.org/doc/286313},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Matías Raja
TI - Two applications of smoothness in C(K) spaces
JO - Studia Mathematica
PY - 2014
VL - 225
IS - 1
SP - 1
EP - 7
AB - A simple observation about embeddings of smooth Banach spaces into C(K) spaces allows us to construct a parametrization of the separable Banach spaces using closed subsets of the interval [0,1]. The same idea is applied to the study of the isometric embedding of $ℓ_{p}$ spaces into certain C(K) spaces with the additional condition that the functions of the image must be Lipschitz with respect to a fixed finer metric on K. The feasibility of that kind of embeddings is related to Szlenk indices.
LA - eng
UR - http://eudml.org/doc/286313
ER -