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.
Iurato, G. (2012). On density and π-weight of Lp(βN;R;μ). APPLIED GENERAL TOPOLOGY, 13(1), 33-38.
Data di pubblicazione: | 2012 |
Titolo: | On density and π-weight of Lp(βN;R;μ) |
Autori: | |
Citazione: | Iurato, G. (2012). On density and π-weight of Lp(βN;R;μ). APPLIED GENERAL TOPOLOGY, 13(1), 33-38. |
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Appare nelle tipologie: | 1.01 Articolo in rivista |
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