Using boundaries to find smooth norms

Victor Bible. "Using boundaries to find smooth norms." Studia Mathematica 224.2 (2014): 169-181. <http://eudml.org/doc/285604>.

@article{VictorBible2014,
abstract = {The aim of this paper is to present a tool used to show that certain Banach spaces can be endowed with $C^k$ smooth equivalent norms. The hypothesis uses particular countable decompositions of certain subsets of $B_\{X*\}$, namely boundaries. Of interest is that the main result unifies two quite well known results. In the final section, some new corollaries are given.},
author = {Victor Bible},
journal = {Studia Mathematica},
keywords = {boundary; -smooth renorming; injective tensor product; Orlicz function; -LRC set},
language = {eng},
number = {2},
pages = {169-181},
title = {Using boundaries to find smooth norms},
url = {http://eudml.org/doc/285604},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Victor Bible
TI - Using boundaries to find smooth norms
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 169
EP - 181
AB - The aim of this paper is to present a tool used to show that certain Banach spaces can be endowed with $C^k$ smooth equivalent norms. The hypothesis uses particular countable decompositions of certain subsets of $B_{X*}$, namely boundaries. Of interest is that the main result unifies two quite well known results. In the final section, some new corollaries are given.
LA - eng
KW - boundary; -smooth renorming; injective tensor product; Orlicz function; -LRC set
UR - http://eudml.org/doc/285604
ER -