Integral Equations and Operator Theory

, Volume 9, Issue 5, pp 739–743

A nil algebra of bounded operators on Hilbert space with semisimple norm closure

  • Donald Hadwin
  • Eric Nordgren
  • Mehdi Radjabalipour
  • Heydar Radjavi
  • Peter Rosenthal
Short Communications


An algebra of operators having the property of the title is constructed and it is used to give examples related to some recent invariant subspace results.


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Copyright information

© Birkhäuser Verlag 1986

Authors and Affiliations

  • Donald Hadwin
    • 1
  • Eric Nordgren
    • 1
  • Mehdi Radjabalipour
    • 3
  • Heydar Radjavi
    • 2
  • Peter Rosenthal
    • 4
  1. 1.Department of MathematicsUniversity of New HampshireDurham
  2. 2.Department of MathematicsDalhousie UniversityHalifaxCanada
  3. 3.Department of MathematicsKerman UniversityKermanIran
  4. 4.Department of MathematicsUniversity of TorontoTorontoCanada

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