On c.n.c. commuting contractive tuples

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dc.creatorBhattacharyya, T.
dc.creatorEschmeier, J.
dc.creatorSarkar, J.
dc.date2005-09-07
dc.date2006-04-12
dc.date.accessioned2026-07-07T06:42:58Z
dc.date.available2026-07-07T06:42:58Z
dc.descriptionThe 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 $\clh$. 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.
dc.description18 pages, revised version, to appear in Proc. Math. Sci., Indian Acad. Sci
dc.identifierhttps://arxiv.org/abs/math/0509162
dc.identifierhttp://arxiv.org/abs/math/0509162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102240
dc.subjectOperator Algebras
dc.subject47A13; 47A20; 47A56
dc.titleOn c.n.c. commuting contractive tuples
dc.typetext

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