ISOMETRIC REFLECTIONS IN TWO DIMENSIONS AND DUAL L1-STRUCTURES

Title & Authors
ISOMETRIC REFLECTIONS IN TWO DIMENSIONS AND DUAL L1-STRUCTURES
Garcia-Pacheco, Francisco J.;

Abstract
In this manuscript we solve in the positive a question informally proposed by Enflo on the measure of the set of isometric reflection vectors in non-Hilbert 2-dimensional real Banach spaces. We also reformulate equivalently the separable quotient problem in terms of isometric reflection vectors. Finally, we give a new and easy example of a real Banach space whose dual has a non-trivial L-summand that does not come from an M-ideal in the predual.
Keywords
isometric reflection vector;$\small{L^1}$-summand vector;
Language
English
Cited by
1.
An approach to a Ricceriʼs Conjecture, Topology and its Applications, 2012, 159, 15, 3307
2.
A simple equivalent reformulation of the separable quotient problem, Acta Mathematica Hungarica, 2016, 148, 1, 96
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