Bulletin of the Korean Mathematical Society (대한수학회보)

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ISOMETRIC REFLECTIONS IN TWO DIMENSIONS AND DUAL L1-STRUCTURES

  • Garcia-Pacheco, Francisco J. (Department of Mathematics Texas A&M University)
  • Received : 2011.04.01
  • Published : 2012.11.30
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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.

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References

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