About: Weak compactness and sigma-Asplund generated Banach spaces     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
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)
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)
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)
skos:notation
  • RIV/67985840:_____/07:00095231!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 125;152
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA100190610), P(IAA1019301), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 461137
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00095231
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • epsilon-Asplund set; epsilon-weakly compact set; weakly compactly generated Banach space (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [C6203552C5D0]
http://linked.open...i/riv/nazevZdroje
  • Studia mathematica
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 181
http://linked.open...iv/tvurceVysledku
  • Montesinos, V.
  • Zizler, Václav
  • Fabian, Marián
http://linked.open...n/vavai/riv/zamer
issn
  • 0039-3223
number of pages
is http://linked.open...avai/riv/vysledek of
Faceted Search & Find service v1.16.116 as of Feb 22 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3239 as of Feb 22 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software