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http://dx.doi.org/10.4134/BKMS.2012.49.6.1275

ISOMETRIC REFLECTIONS IN TWO DIMENSIONS AND DUAL L1-STRUCTURES  

Garcia-Pacheco, Francisco J. (Department of Mathematics Texas A&M University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1275-1289 More about this Journal
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; $L^1$-summand vector;
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