Bhattacharyya, T and Eschmeier, J and Sarkar, J (2005) On C.N.C. Commuting Contractive Tuples. In: Proceedings of Indian Academy of Sciences: Mathematical Sciences, 116 (4). pp. 299-316. (In Press)
![]()
|
PDF
cnc.pdf Download (237kB) |
Abstract
The characteristic function has been an important tool for studying completely non unitary contractions on Hilbert spaces. In this note, we consider completely non-coisometric contractive tuples of commuting operators on a Hilbert space $\mathcal{H}$. We show that the characteristic function, which is now an operator valued analytic function on the open Euclidean unit ball in $\mathbb{C}^n$, 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 analytic functions which arise as characteristic functions of pure commuting contractive tuples.
Item Type: | Journal Article |
---|---|
Publication: | Proceedings of Indian Academy of Sciences: Mathematical Sciences |
Publisher: | Indian Academy of Sciences |
Additional Information: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Characteristic function;invariant subspaces;biholomorphic automorphisms;functional model;coincidence |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 23 May 2008 |
Last Modified: | 19 Sep 2010 04:25 |
URI: | http://eprints.iisc.ac.in/id/eprint/6233 |
Actions (login required)
![]() |
View Item |