Here, we present the new method of approximate conformal mapping of the unit disk to a one-connected domain with smooth boundary without auxiliary constructions and iterations. The mapping function is a Taylor polynomial. ...

Let H be an innite-dimensional Hilbert space over the field C, B(H) be the ∗-algebra of all linear bounded operators on H. An operator A ∈ B(H) is a commutator, if A = [S, T ] = ST - T S for some S, T ∈ B(H). Let X, Y ∈ ...