The reduced minimum modulus of left multiplicative operators
Yuan Li · Journal of Shandong University · 2010
B(X) denotes the sets of all bounded linear operators defined on X. For A∈B(X),the left multiplicative operator LA on B(X) is defined by LA (X)=AX,X∈B(X). Relationship between the reduced minimum modulus of the left multiplicative operator LA and of an operator A is discussed. γ(LA)≤γ(A) is obtained. Particularly,for an operators A on a Hilbert space,γ(LA)=γ(A).