There is an equivalent norm on l1 that has the fixed point property

By P. Lin. 2008

90 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f5bc1e23b4d47e57b525715e83445665fa58a0c9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Lech Maligranda
2. Yong Zhang
3. Anthony To-Ming Lau
4. Sergey V. Astashkin

In Geometry and Topology

1. Lech Maligranda
2. Yong Zhang
3. Anthony To-Ming Lau
4. Sergey V. Astashkin

In Mathematical Physics

1. Sergey V. Astashkin
2. Lech Maligranda
3. Yong Zhang
4. Anthony To-Ming Lau

Citations in the corpus

• Structure of Cesàro function spaces: a survey (2014, background): “Does reflexivity of a Banach space X imply that X ∈ FPP? On the other hand, the converse problem was solved by Pei–Kee Lin in 2008 by his surprising result: the space l1 with the norm ‖x‖ = supn∈N 8 n 1+8n ∑∞ k=n |xk| is not reflexive but it has the fixed point property [59].”
• Fixed point properties for semigroups of nonlinear mappings and amenability (2012, background): “However, in a recent remarkable paper of Lin [36], it was shown that 1(Z) can be renormed to have the fpp.”