Abstract. The characteristic function has been an important tool for studying com-pletely non-unitary contractions on Hilbert spaces. In this note, we consider completely non-coisometric contractive tuples of commuting operators on a Hilbert space H. We show that the characteristic function, which is now an operator-valued analytic function on the open Euclidean unit ball in Cn, is a complete unitary invariant for such a tuple. We prove that the characteristic function satisfies a natural transformation law under biholomorphic mappings of the unit ball. We also characterize all operator-valued ana-lytic functions which arise as characteristic functions of pure commuting contractive tuples
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function has been an important tool for studying completely non unitary contracti...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function $\theta_T(z) = −T + zD_{T...
The characteristic function has been an important tool for studying completely non-unitary contracti...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function $\theta_T(z) = −T + zD_{T...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function \theta_{T}(z)=-T+zD_{...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function \theta_{T}(z)=-T+zD_{...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-tuples ...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
A theorem of Sz.-Nagy and Foias[9] shows that the characteristic function θT(z)=−T + zDTT∗(1H−zT∗)-1...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-tuples ...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function has been an important tool for studying completely non unitary contracti...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function $\theta_T(z) = −T + zD_{T...
The characteristic function has been an important tool for studying completely non-unitary contracti...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function $\theta_T(z) = −T + zD_{T...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function \theta_{T}(z)=-T+zD_{...
A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function \theta_{T}(z)=-T+zD_{...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-tuples ...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
A theorem of Sz.-Nagy and Foias[9] shows that the characteristic function θT(z)=−T + zDTT∗(1H−zT∗)-1...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-tuples ...
In this note, we develop the theory of characteristic function as an invariant for n-tuples of opera...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...
The characteristic function for a contraction is a classical complete unitary invariant devised by S...