Remarks on nearly equivalent operators

Eungil Ko, Mee Jung Lee

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V−1T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.

Original languageEnglish
Pages (from-to)537-547
Number of pages11
JournalOperators and Matrices
Volume12
Issue number2
DOIs
StatePublished - Jun 2018

Keywords

  • Invariant subspace
  • Local spectral property
  • Nearly equivalent operators

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