Renormings of and the minimal displacement problem
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2014)
- Volume: 68, Issue: 2
- ISSN: 0365-1029
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topŁukasz Piasecki. "Renormings of $c_0$ and the minimal displacement problem." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 68.2 (2014): null. <http://eudml.org/doc/289825>.
@article{ŁukaszPiasecki2014,
abstract = {The aim of this paper is to show that for every Banach space $(X, \Vert \cdot \Vert )$ containing asymptotically isometric copy of the space $c_0$ there is a bounded, closed and convex set $C \subset X$ with the Chebyshev radius $r(C) = 1$ such that for every $k \ge 1 $ there exists a $k$-contractive mapping $T : C \rightarrow C$ with $\Vert x - Tx \Vert > 1 − 1/k$ for any $x \in C$.},
author = {Łukasz Piasecki},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {2},
pages = {null},
title = {Renormings of $c_0$ and the minimal displacement problem},
url = {http://eudml.org/doc/289825},
volume = {68},
year = {2014},
}
TY - JOUR
AU - Łukasz Piasecki
TI - Renormings of $c_0$ and the minimal displacement problem
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2014
VL - 68
IS - 2
SP - null
AB - The aim of this paper is to show that for every Banach space $(X, \Vert \cdot \Vert )$ containing asymptotically isometric copy of the space $c_0$ there is a bounded, closed and convex set $C \subset X$ with the Chebyshev radius $r(C) = 1$ such that for every $k \ge 1 $ there exists a $k$-contractive mapping $T : C \rightarrow C$ with $\Vert x - Tx \Vert > 1 − 1/k$ for any $x \in C$.
LA - eng
KW -
UR - http://eudml.org/doc/289825
ER -
References
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