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    • On commutants and operator equations 

      Khalagai, J.M.; Kavila, M. (School of Mathematics University of Nairobi, 2012)
      Let B(H) denote the algebra of bounded linear operators on a Hilbert Space H into itself. Given A,B ∈ B(H) define C(A,B) and R(A,B) : B(H) −→ B(H) by C(A,B)X = AX − XB and R(A,B)X = AXB − X. Our task in this note is to ...