On Numerical Ranges of Rank-Two Operators

Leiba Rodman, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

Possible shapes of numerical ranges of rank-two operators are studied. In particular it is proved that for 4-by-4 unitarily irreducible matrices with an eigenvalue of geometric multiplicity two, the numerical ranges have at most one flat portion on the boundary and there are no multiply generated round boundary points.

Original languageEnglish (US)
Pages (from-to)441-448
Number of pages8
JournalIntegral Equations and Operator Theory
Volume77
Issue number3
DOIs
StatePublished - Nov 1 2013

Fingerprint

Numerical Range
Irreducible Matrix
Operator
Multiplicity
Multiplication
Eigenvalue

Keywords

  • flat portion
  • multiply generated boundary points
  • Numerical range
  • rank-two operators

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

On Numerical Ranges of Rank-Two Operators. / Rodman, Leiba; Spitkovsky, Ilya.

In: Integral Equations and Operator Theory, Vol. 77, No. 3, 01.11.2013, p. 441-448.

Research output: Contribution to journalArticle

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