6533b862fe1ef96bd12c6eca
RESEARCH PRODUCT
On density and π-weight of Lp(βN,R, μ)
Giuseppe Iuratosubject
Pure mathematicsselective separability Lebesgue spaceselective separabilitylcsh:MathematicsseparabilityMathematical analysis[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]lcsh:QA299.6-433Separabilitylcsh:AnalysisSpace (mathematics)lcsh:QA1-939[MATH.MATH-GN] Mathematics [math]/General Topology [math.GN]Lebesgue spaceStandard probability spaceGeometry and TopologySelective separabilityMathematicsdescription
In Integration Theory, it is important to establish the separability or not of Lebesgue spaces of the type Lp, with 1 ≤ p < +∞. In general, the usual proof of this type of results for certain Lebesgue spaces, is conducted through methods of Real Analysis. In this work, we use some concepts and methods of pure General Topology in proving the non-separability of a particular Lebesgue space. Further, we provide some estimates for density and π-weight of such a space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-01 |