On p-hyponormal operators

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Abstract

In this paper we show that p-hyponormal operators with 0 ∉ σ(|T|r1/2) are subscalar. As a corollary, we get that such operators with rich spectra have non-trivial invariant subspaces.

Original languageEnglish
Pages (from-to)775-780
Number of pages6
JournalProceedings of the American Mathematical Society
Volume128
Issue number3
StatePublished - 2000

Keywords

  • Invariant subspaces
  • P-hyponormal
  • Subscalar operators

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