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  • Nechť T je polynomiálně ohraničený operátor na Banachově prostoru X, jehož spektrum obsahuje jednotkovou kružnici. Pak T* má netriviální invariantní podprostor. To zobecňuje známý výsledek ( Brown, Chevreau, Pearcy ) pro kontrakce na Hilbertově prostoru. (cs)
  • Let T be a polynomially bounded operator on a Banach space X whose spectrum contains the unit circle. Then T* has a nontrivial invariant subspace. In particular, if X is reflexive, then T itself has a nontrivial invariant subspace. This generalizes the well-known result of Brown, Chevreau, and Pearcy for Hilbert space contractions.
  • Let T be a polynomially bounded operator on a Banach space X whose spectrum contains the unit circle. Then T* has a nontrivial invariant subspace. In particular, if X is reflexive, then T itself has a nontrivial invariant subspace. This generalizes the well-known result of Brown, Chevreau, and Pearcy for Hilbert space contractions. (en)
Title
  • Invariant subspaces for polynomially bounded operators
  • Invariantní podprostory polynomiálně ohraničených operátorů (cs)
  • Invariant subspaces for polynomially bounded operators (en)
skos:prefLabel
  • Invariant subspaces for polynomially bounded operators
  • Invariantní podprostory polynomiálně ohraničených operátorů (cs)
  • Invariant subspaces for polynomially bounded operators (en)
skos:notation
  • RIV/67985840:_____/04:00106841!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 321;345
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  • P(GA201/03/0041), Z(AV0Z1019905)
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  • 2
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  • 568840
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  • RIV/67985840:_____/04:00106841
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  • polynomially bounded operators;invariant subspaces (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9C7EF6C81C18]
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  • Journal of Functional Analysis
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  • 213
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  • Müller, Vladimír
  • Ambrozie, C.
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-1236
number of pages
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