Property (gb) through local spectral theory

Pietro Aiena, Jesús R. Guillén, Pedro Peña

Risultato della ricerca: Articlepeer review

3 Citazioni (Scopus)

Abstract

Property (gb) for a bounded linear operator T on a Banach space X means that the points c of the approximate point spectrum for which c I-T is upper semi B-Weyl are exactly the poles of the resolvent. In this paper we shall give several characterizations of property (gb). These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gb) holds for large classes of operators and prove the stability of property (gb) under some commuting perturbations.
Lingua originaleEnglish
pagine (da-a)1-15
Numero di pagine15
RivistaMATHEMATICAL PROCEEDINGS OF THE ROYAL IRISH ACADEMY
Volume114
Stato di pubblicazionePublished - 2014

All Science Journal Classification (ASJC) codes

  • Archaeology
  • Cultural Studies
  • History
  • Archaeology
  • Literature and Literary Theory

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