On sums of hankel operators

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Abstract

Necessary and sufficient conditions are derived for the sum of two Hankel operators of closed range to have closed range. As a corollary we determine when two left invariant subspaces of H have positive angle.

Original languageEnglish
Pages (from-to)65-68
Number of pages4
JournalProceedings of the American Mathematical Society
Volume46
Issue number1
DOIs
StatePublished - 1 Jan 1974

Keywords

  • Closed range
  • Hankel operators
  • Inner functions
  • Invariant subspaces

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