Dunford–Pettis property
id:
dunford-pettis-property-190-8187545
title:
Dunford–Pettis property
text:
In functional analysis, the Dunford–Pettis property, named after Nelson Dunford and B. J. Pettis, is a property of a Banach space stating that all weakly compact operators from this space into another Banach space are completely continuous. Many standard Banach spaces have this property, most notably, the space C of continuous functions on a compact space and the space L 1 of the Lebesgue integrable functions on a measure space. Alexander Grothendieck introduced the concept in the early 1950s, f
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Dunford%E2%80%93Pettis_property
date created:
date modified:
2023-07-16T01:40:02Z
main entity:
{"identifier":"Q1265637","url":"https://www.wikidata.org/entity/Q1265637"}
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fields total:
13
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13