Products of orthogonal projections

Research output: Contribution to journalArticlepeer-review


We give a characterization of operators on a separable Hubert space of norm less than one that can be represented as products of orthogonal projections and give an estimate on the number of factors. We also describe the norm closure of the set of all products of orthogonal projections.

Original languageEnglish (US)
Pages (from-to)3659-3669
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number12
StatePublished - 1999
Externally publishedYes


  • Hubert space
  • Orthogonal projections

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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