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rdf:type
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Description
| - Každý mocninově ohraničený operátor v reflexivním Banachově prostoru, jehož spektrum obsahuje 1, má netriviální invariantní kužel. (cs)
- We show that each power bounded operator with spectral radius equal to one a reflexive Banach space has a nonzero vector which is not supercyclic. Equivalently, the operator has a nontrivial closed invariant homogeneous subset. Moreover, the operator has a nontrivial closed invariant cone if 1 belongs to its spectrum. This generalizes the corresponding results for Hilbert space operators. For non-reflexive Banach spaces these results remain true; however, the non-supercyclic vector (inavariant cone, respectively) relates to the adjoint of the operator.
- We show that each power bounded operator with spectral radius equal to one a reflexive Banach space has a nonzero vector which is not supercyclic. Equivalently, the operator has a nontrivial closed invariant homogeneous subset. Moreover, the operator has a nontrivial closed invariant cone if 1 belongs to its spectrum. This generalizes the corresponding results for Hilbert space operators. For non-reflexive Banach spaces these results remain true; however, the non-supercyclic vector (inavariant cone, respectively) relates to the adjoint of the operator. (en)
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Title
| - Power bounded operators and supercyclic vectors II
- Mocninově ohraničené operátory a supercyklické vektory II (cs)
- Power bounded operators and supercyclic vectors II (en)
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skos:prefLabel
| - Power bounded operators and supercyclic vectors II
- Mocninově ohraničené operátory a supercyklické vektory II (cs)
- Power bounded operators and supercyclic vectors II (en)
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skos:notation
| - RIV/67985840:_____/05:00030787!RIV06-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(GA201/03/0041), 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:_____/05:00030787
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - supercyclic vectors; invariant subspace problem; positive operators (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Proceedings of the American Mathematical Society
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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
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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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