A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function $\theta_T(z) = −T + zD_{T^*}(1_H - zT^*)^{-1}D_T$ of a completely non-unitary contraction T is a complete unitary invariant for T. In this note we extend this theorem to the case of a pure commuting contractive tuple using a natural generalization of the characteristic function to an operator-valued analytic function defined on the open unit ball of $C^n$. This function is related to the curvature invariant introduced by Arveson [3]
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...
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_{...
The characteristic function has been an important tool for studying completely non unitary contracti...
Abstract. The characteristic function has been an important tool for studying com-pletely non-unitar...
A theorem of Sz.-Nagy and Foias[9] shows that the characteristic function θT(z)=−T + zDTT∗(1H−zT∗)-1...
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...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-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 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...
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_{...
The characteristic function has been an important tool for studying completely non unitary contracti...
Abstract. The characteristic function has been an important tool for studying com-pletely non-unitar...
A theorem of Sz.-Nagy and Foias[9] shows that the characteristic function θT(z)=−T + zDTT∗(1H−zT∗)-1...
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...
AbstractIn this note, we develop the theory of characteristic function as an invariant for n-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 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...