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SALVATORE TRIOLO

Projections and isolated points of parts of the spectrum

  • Authors: Aiena, Pietro*; Triolo, Salvatore
  • Publication year: 2018
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Kato decomposition; Localized SVEP; Spectrum; Algebra and Number Theory; Analysis
  • OA Link: http://hdl.handle.net/10447/338467

Abstract

In this paper, we relate the existence of certain projections, commuting with a bounded linear operator T ∈ L(X) acting on Banach space X, with the generalized Kato decomposition of T. We also relate the existence of these projections with some properties of the quasi-nilpotent part H0(T) and the analytic core K(T). Further results are given for the isolated points of some parts of the spectrum.