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The Analytic Complete Continuity Property

✍ Scribed by Mangatiana A. Robdera; Paulette Saab

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
106 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

We introduce the notion of the analytic complete continuity property of Banach spaces. We give different characterizations of this property. We show that this property is different from known related properties such as the complete continuity property and the analytic Radon᎐Nikodym property.

πŸ“œ SIMILAR VOLUMES

A Note on the Analytic Complete Continui
A Note on the Analytic Complete Continuity Property
✍ Shangquan Bu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 68 KB

We show that a Banach space X has the analytic complete continuity property if and only if for every 1 ≀ p < ∞ and for every f ∈ H p X , the sequence f r n e iβ€’ is p-Pettis-Cauchy for every r n ↑ 1. This allows us to show that X has the analytic complete continuity property if and only if L p X has

ANALYTIC COMPLETENESS THEOREM FOR ABSOLU
ANALYTIC COMPLETENESS THEOREM FOR ABSOLUTELY CONTINUOUS BIPROBABILITY MODELS
✍ Radosav S. ĐorΔ‘eviΔ‡ πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 305 KB

## Abstract Hoover [2] proved a completeness theorem for the logic L(∫)π’œ. The aim of this paper is to prove a similar completeness theorem with respect to product measurable biprobability models for a logic L(∫~1~, ∫~2~) with two integral operators. We prove: If __T__ is a βˆ‘~1~ definable theory on