Let H(U) be the set of all holomorphic functions on the unit ball U of the complex plane. The Hardy space H2 is the set of all functions f(z)= that belongs to H(U) such that < ¥. Let j be a holomorphic self map of U. The composition operator Cj on H2 is defined as follows:
Cjf = foj, for all f Î H2
The main purpose of this work can be divided in to three aspects.First, a study of the existence and uniqueness of the solution for special types of linear operator equations, namely the Lyapunov equation.
Second, a discussion of the range for the quaii-Jordan*-derivation.Third, some special types of Lyapunov equation, namely stein equation.
This study was conducted for investigating the effect of heat stable enterotoxin a (STa) produced by enterotoxigenic Escherichia coli on the proliferation of colorectal cancer cells. A total of (25) stool samples were collected from patients suffering from diarrhea to isolate E. coli strains that produce STa, and after performing microscopic examination, cultural characterization and biochemical identification only (11) isolates showed positive E. coli.
