On density and π-weight of Lp(βN;R;μ)

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Abstract

In Integration Theory, it is important to establish the separability or notof Lebesgue spaces of the type Lp, with 1 ≤ p < +∞. In general, the usualproof of this type of results for certain Lebesgue spaces, is conducted throughmethods of Real Analysis.In this work, we use some concepts and methods of pure General Topologyin proving the non-separability of a particular Lebesgue space. Further, weprovide some estimates for density and π-weight of such a space.
Lingua originaleEnglish
pagine (da-a)33-38
Numero di pagine6
RivistaAPPLIED GENERAL TOPOLOGY
Volume13
Stato di pubblicazionePublished - 2012

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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