On density and π-weight of Lp(βN;R;μ)

Giuseppe Iurato

On density and π-weight of Lp(βN;R;μ)

Giuseppe Iurato

Fisica e Chimica - Emilio Segrè

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

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 originale	English
pagine (da-a)	33-38
Numero di pagine	6
Rivista	APPLIED GENERAL TOPOLOGY
Volume	13
Stato di pubblicazione	Published - 2012

All Science Journal Classification (ASJC) codes

Geometry and Topology

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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.",

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AB - 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.

KW - Lebesgue space

KW - selective separability

KW - Lebesgue space

KW - selective separability

UR - http://hdl.handle.net/10447/65358

M3 - Article

VL - 13

SP - 33

EP - 38

JO - APPLIED GENERAL TOPOLOGY

JF - APPLIED GENERAL TOPOLOGY

SN - 1989-4147

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