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  • We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of .epsilon.(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop´s property (.beta.). Other applications are also given.
  • We study the invertibility of Banach algebras elements in their extensions, and invertible extensions of Banach and Hilbert space operators with prescribed growth conditions for the norm of inverses. As applications, the solutions of two open problems are obtained. In the first one we give a characterization of .epsilon.(T)-subscalar operators in terms of growth conditions. In the second one we show that operators satisfying a Beurling-type growth condition possess Bishop´s property (.beta.). Other applications are also given. (en)
  • Jsou charakterizovány .epsilon.(T)-substalární operátory pomocí růstu mocnin. Dále je ukázáno, že operátory splňující Beurlingovu podmínku mají Bishopovu vlastnost (.beta.). (cs)
Title
  • Growth Conditions and Inverse Producing Extensions
  • Growth Conditions and Inverse Producing Extensions (en)
  • Podmínky na růst a rozšíření zajišťující invertibilitu (cs)
skos:prefLabel
  • Growth Conditions and Inverse Producing Extensions
  • Growth Conditions and Inverse Producing Extensions (en)
  • Podmínky na růst a rozšíření zajišťující invertibilitu (cs)
skos:notation
  • RIV/67985840:_____/05:00031544!RIV06-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 415;439
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0041), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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  • 522956
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/05:00031544
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • invertible extensions; growth conditions; subscalar operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • RO - Rumunsko
http://linked.open...ontrolniKodProRIV
  • [A7EFFEC7C1E3]
http://linked.open...i/riv/nazevZdroje
  • Journal of Operator Theory
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
  • 54
http://linked.open...iv/tvurceVysledku
  • Müller, Vladimír
  • Badea, C.
http://linked.open...n/vavai/riv/zamer
issn
  • 0379-4024
number of pages
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