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  • Pro širokou třídu operátorů je ukázána existence ohraničené lokální resolventy. (cs)
  • It is known that each normal operator on a Hilbert space with non-empty interior of the spectrum admits vectors with bounded local resolvent. We generalize this result for Banach space operators with the decomposition property (.beta.) (in particular for decomposable operators). Moreover, the same result holds for operators with interior points in the localizable spectrum.
  • It is known that each normal operator on a Hilbert space with non-empty interior of the spectrum admits vectors with bounded local resolvent. We generalize this result for Banach space operators with the decomposition property (.beta.) (in particular for decomposable operators). Moreover, the same result holds for operators with interior points in the localizable spectrum. (en)
Title
  • On Bounded Local Resolvents
  • O ohraničených lokálních resolventách (cs)
  • On Bounded Local Resolvents (en)
skos:prefLabel
  • On Bounded Local Resolvents
  • O ohraničených lokálních resolventách (cs)
  • On Bounded Local Resolvents (en)
skos:notation
  • RIV/67985840:_____/06:00044366!RIV07-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 477;486
http://linked.open...avai/riv/aktivita
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  • P(GA201/03/0041), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 3
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  • 490278
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  • RIV/67985840:_____/06:00044366
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  • local spectrum; bounded local resolvent; localizable spectrum (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [8ABA7F2CEB39]
http://linked.open...i/riv/nazevZdroje
  • Integral Equations and Operator Theory
http://linked.open...in/vavai/riv/obor
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  • 55
http://linked.open...iv/tvurceVysledku
  • Müller, Vladimír
  • Bračič, J.
http://linked.open...n/vavai/riv/zamer
issn
  • 0378-620X
number of pages
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