Projections and isolated points of parts of the spectrum

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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.
Original languageEnglish
Pages (from-to)868-880
Number of pages13
JournalAdvances in Operator Theory
Volume3
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Analysis

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