On density and π-weight of Lp(βN,R, μ)

Giuseppe Iurato

Italy

University of Palermo

Department of Physics and Related Technologies, University of Palermo, Avenue of Science, Building 18, I-90128, Palermo, Italy

Submitted: 2013-07-29

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Accepted: 2013-07-29

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Published: 2012-04-15

DOI: https://doi.org/10.4995/agt.2012.1636
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Keywords:

Separability, Selective separability, Lebesgue space

Supporting agencies:

This research was not funded

Abstract:

The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space.
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