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Norms of Derivations Implemented by S-Universal Operators
(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
(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 ...
Norm of a derivation and hyponormal operators
(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 ...