Nonmeasurability in Banach spaces

Robert Ralowski

Nonmeasurability in Banach spaces

General Topology 2010-01-05 v1 Logic

Authors: Robert Ralowski

Abstract

We show that for a $\sigma$ -ideal $\ci$ with a Steinhaus property defined on Banach space, if two non-homeomorphic Banach with the same cardinality of the Hamel basis then there is a $\ci$ nonmeasurable subset as image by any isomorphism between of them. Our results generalize results from [2]

Keywords

banach spaces banach space properties banach algebras

Cite

@article{arxiv.1001.0073,
  title  = {Nonmeasurability in Banach spaces},
  author = {Robert Ralowski},
  journal= {arXiv preprint arXiv:1001.0073},
  year   = {2010}
}

Comments

6 pages

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