About: w*-Basic sequences and reflexivity of Banach spaces     Goto   Sponge   NotDistinct   Permalink

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  • Je ukázáno, že separabilní Banachův prostor je reflexivní právě tehdy, jestliže každý jeho faktorprostor, který má bázi, je reflexivní. Podobně: Jestliže L(X,Y) není reflexivní pro nějaké reflexivní prostory X a Y, pak L(X1,Y) není reflexivní pro nějaký X1.. X,X1 má Schauderovu bázi. (cs)
  • We observe that a separable Banach space X is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if L (X,Y) is not reflexive for reflexive X and Y then L (X1,Y) is is not reflexive for some X1,.. X,X1 having a basis.
  • We observe that a separable Banach space X is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if L (X,Y) is not reflexive for reflexive X and Y then L (X1,Y) is is not reflexive for some X1,.. X,X1 having a basis. (en)
Title
  • w*-Basic sequences and reflexivity of Banach spaces
  • w*-Basic sequences and reflexivity of Banach spaces (en)
  • w*-basické posloupnosti a reflexivita Banachovských prostorů (cs)
skos:prefLabel
  • w*-Basic sequences and reflexivity of Banach spaces
  • w*-Basic sequences and reflexivity of Banach spaces (en)
  • w*-basické posloupnosti a reflexivita Banachovských prostorů (cs)
skos:notation
  • RIV/67985840:_____/05:00023144!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 677;681
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  • P(GA201/03/0041), P(GA201/04/0090), P(IAA1019801), Z(AV0Z10190503)
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  • 4
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  • 551308
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  • RIV/67985840:_____/05:00023144
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  • reflexive Banach space; Schauder basic; quotient space (en)
http://linked.open.../riv/klicoveSlovo
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  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [9F763E694537]
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  • Czechoslovak Mathematical Journal
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  • 55
http://linked.open...iv/tvurceVysledku
  • John, Kamil
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
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