The dual space of Lp of a vector measure
In: Positivity (Dordrecht), Jg. 14 (2010), Heft 4, S. 715-729
Online
academicJournal
- print, 15 ref
Zugriff:
For a vector measure ν having values in a real or complex Banach space and p ∈ [1, ∞), we consider Lp (ν) and Lpw(ν), the corresponding spaces of p-integrable and scalarly p-integrable functions. Given μ, a Rybakov measure for ν, and taking q to be the conjugate exponent of p, we construct a μ-Köthe function space Eq(μ) and show it is σ-order continuous when p > 1. In this case, for the associate spaces we prove that Lp(ν)× = Eq(μ) and Eq(μ)× = Lpw(ν). It follows that Lp(ν)** = Lpw(ν). We also show that L1(ν)× may be equal or not to E∞ (μ).
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The dual space of Lp of a vector measure
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Autor/in / Beteiligte Person: | GALAZ-FONTES, F |
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Zeitschrift: | Positivity (Dordrecht), Jg. 14 (2010), Heft 4, S. 715-729 |
Veröffentlichung: | Heidelberg: Springer, 2010 |
Medientyp: | academicJournal |
Umfang: | print, 15 ref |
ISSN: | 1385-1292 (print) |
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