A note on the maximal numerical range

Research output: Contribution to journalArticlepeer-review


We show that the maximal numerical range of an operator has a non-empty intersection with the boundary of its numerical range if and only if the operator is normaloid. A description of this intersection is also given.

Original languageEnglish (US)
Pages (from-to)601-605
Number of pages5
JournalOperators and Matrices
Issue number3
StatePublished - 2019


  • Maximal numerical range
  • Normaloid operator
  • Numerical range

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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