Once more on algebras generated by two projections

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We consider von Neumann algebras generated by two arbitrary orthoprojections on a Hilbert space. A canonical decomposition is obtained for elements A of these algebras in terms of the operator angle between the ranges of the above-mentioned projections. This decomposition leads to explicit descriptions and formulas for kernels, ranges, spectra and essential spectra, (generalized) inverses, and other objects related to A.

Original languageEnglish (US)
Pages (from-to)377-395
Number of pages19
JournalLinear Algebra and Its Applications
Issue numberC
StatePublished - 1994

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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