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
    • Department of MathematicsUniversity of New Hampshire
  • Eric Nordgren
    • Department of MathematicsUniversity of New Hampshire
  • Mehdi Radjabalipour
    • Department of MathematicsKerman University
  • Heydar Radjavi
    • Department of MathematicsDalhousie University
  • Peter Rosenthal
    • Department of MathematicsUniversity of Toronto
Short Communications

DOI: 10.1007/BF01195810

Cite this article as:
Hadwin, D., Nordgren, E., Radjabalipour, M. et al. Integr equ oper theory (1986) 9: 739. doi:10.1007/BF01195810


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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© Birkhäuser Verlag 1986