Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation, I. the least squares solution.

In this paper a state space formula is derived for the least squares solution X of the corona type Bezout equation G(z)X(z) =

The Douglas property for multiplier algebras of operators

AbstractFor a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and the ball and for the Bergman space, k is a complete Pick kernel if and only if the multiplier algebra of H2(k) has the Douglas property. Consequences for solving the operator equation AX=Y are examined