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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F05%3A00031544%21RIV06-AV0-67985840
rdf:type
skos:Concept n17:Vysledek
dcterms:description
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. Jsou charakterizovány .epsilon.(T)-substalární operátory pomocí růstu mocnin. Dále je ukázáno, že operátory splňující Beurlingovu podmínku mají Bishopovu vlastnost (.beta.).
dcterms:title
Growth Conditions and Inverse Producing Extensions Growth Conditions and Inverse Producing Extensions Podmínky na růst a rozšíření zajišťující invertibilitu
skos:prefLabel
Growth Conditions and Inverse Producing Extensions Podmínky na růst a rozšíření zajišťující invertibilitu Growth Conditions and Inverse Producing Extensions
skos:notation
RIV/67985840:_____/05:00031544!RIV06-AV0-67985840
n4:strany
415;439
n4:aktivita
n12:P n12:Z
n4:aktivity
P(GA201/03/0041), Z(AV0Z10190503)
n4:cisloPeriodika
1
n4:dodaniDat
n10:2006
n4:domaciTvurceVysledku
n5:8840199
n4:druhVysledku
n6:J
n4:duvernostUdaju
n18:S
n4:entitaPredkladatele
n7:predkladatel
n4:idSjednocenehoVysledku
522956
n4:idVysledku
RIV/67985840:_____/05:00031544
n4:jazykVysledku
n13:eng
n4:klicovaSlova
invertible extensions; growth conditions; subscalar operators
n4:klicoveSlovo
n14:invertible%20extensions n14:growth%20conditions n14:subscalar%20operators
n4:kodStatuVydavatele
RO - Rumunsko
n4:kontrolniKodProRIV
[A7EFFEC7C1E3]
n4:nazevZdroje
Journal of Operator Theory
n4:obor
n16:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n11:GA201%2F03%2F0041
n4:rokUplatneniVysledku
n10:2005
n4:svazekPeriodika
54
n4:tvurceVysledku
Müller, Vladimír Badea, C.
n4:zamer
n15:AV0Z10190503
s:issn
0379-4024
s:numberOfPages
25