Please use this identifier to cite or link to this item:
doi:10.22028/D291-26300
Title: | Characteristic function of a pure contractive tuple |
Author(s): | Bhattacharyya, Tritha Eschmeier, Jörg Sarkar, Jaydeb |
Language: | English |
Year of Publication: | 2003 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | A theorem of Sz.-Nagy and Foias [9] shows that the characteristic function \theta_{T}(z)=-T+zD_{T^{*}}(1_{\mathcal{\mathcal{H}}}-zT^{*})^{-1}D_{T} of a completly non-uniraty 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 \mathbb{C}^{n}. This function is related to the curvature invariant introduced by Arveson [3]. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44479 hdl:20.500.11880/26356 http://dx.doi.org/10.22028/D291-26300 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 101 |
Date of registration: | 15-Feb-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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