Renormings of \(c_0\) and the minimal displacement problem

• Autorzy: Łukasz Piasecki
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to show that for every Banach space \((X, \|\cdot\|)\) 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 \(k \geq 1 \) there exists a \(k\)-contractive mapping \(T : C \to C\) with \(\| x - Tx \| > 1 − 1/k\) for any \(x \in C\).

Słowa kluczowe

EN

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2014
• Tom: 68
• Numer: 2

Daty

wydano

2014

online

2015-05-23

Twórcy

autor

Łukasz Piasecki

Bibliografia

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Identyfikatory

DOI

10.17951/a.2014.68.2.85