On numerical ranges and roots

Chi Kwong Li, Leiba Rodman, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-review


Existence of the fractional powers is established in Banach algebra setting, in terms of the numerical ranges of elements involved. The behavior of the spectra and (for Hermitian *-algebras satisfying some additional hypotheses) the *-numerical range under taking these powers also is investigated.

Original languageEnglish (US)
Pages (from-to)329-340
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Jun 1 2003


  • Hermitian Banach algebra
  • Numerical range
  • Root

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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