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rdf:type
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Description
| - In the framework of weakly Lindelöf determined Banach spaces, subspaces of weakly compactly generated spaces are the same as sigma-Asplund generated spaces. To prove this, we study quantitative versions of Asplund property, dentability, differentiability, and of weak compactness. As a consequence, we provide a functional-analytic proof of a result of Arvanitakis: A compact space is Eberlein if (and only if) it is simultaneously Corson and quasi-Radon-Nikodým.
- In the framework of weakly Lindelöf determined Banach spaces, subspaces of weakly compactly generated spaces are the same as sigma-Asplund generated spaces. To prove this, we study quantitative versions of Asplund property, dentability, differentiability, and of weak compactness. As a consequence, we provide a functional-analytic proof of a result of Arvanitakis: A compact space is Eberlein if (and only if) it is simultaneously Corson and quasi-Radon-Nikodým. (en)
- V rámci slabých lindelöfovsky určených Banachových prostorů, podprostory slabě kompaktně generovaných prostorů, jsou ty samé jako sigma-asplundovsky generované prostory. K důkazu tohoto faktu studujeme kvantitativní verse Asplundovy vlastnosti, dentability, diferencovatelnosti a slabé kompaktnosti. Jako důsledek podáváme funkcionálně-analytický důkaz Arvanitakisova výsledku, že kompaktní prostor je Eberleinův, když ( a jen když ) je současně Corsonův a quazi-Radonův-Nikodýmův. (cs)
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Title
| - Weak compactness and sigma-Asplund generated Banach spaces
- Weak compactness and sigma-Asplund generated Banach spaces (en)
- Slabá kompaktnost a sigma-asplundovsky generované Banachovy prostory (cs)
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skos:prefLabel
| - Weak compactness and sigma-Asplund generated Banach spaces
- Weak compactness and sigma-Asplund generated Banach spaces (en)
- Slabá kompaktnost a sigma-asplundovsky generované Banachovy prostory (cs)
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skos:notation
| - RIV/67985840:_____/07:00095231!RIV08-AV0-67985840
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(IAA100190610), P(IAA1019301), Z(AV0Z10190503)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/07:00095231
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - epsilon-Asplund set; epsilon-weakly compact set; weakly compactly generated Banach space (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Montesinos, V.
- Zizler, Václav
- Fabian, Marián
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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is http://linked.open...avai/riv/vysledek
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