Browsing Department of Mathematics by Author "JO Bonyo, JO Agure"

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    • Norm of a derivation and hyponormal operators 

      JO Bonyo, JO Agure (Int J Math Anal, 2010)
      We characterize when the norm of inner derivation on a norm ideal equals that on the quotient algebra. We further investigate norms of inner derivations implemented by normal and hyponormal operators on norm ...

    • Norms of Derivations Implemented by S-Universal Operators 

      JO Bonyo, JO Agure (International Journal of Mathematical Analysis, 2011)
      Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For A, B ∈ B(H), we define inner derivations implemented by A,B respectively on B(H) by ΔA(X) = AX−XA, ΔB(X) = BX−XB and a ...

    • Norms of Inner Derivations on Norm ideals 

      JO Bonyo, JO Agure (Int. Journal of Math. Analysis, 2010)
      Let B(H) be the algebra of bounded linear operators on a Hilbert space H and J be a norm ideal in B(H). We investigate the relationship between the diameter of the numerical range of an operator A ∈ B(H) and the norm ...