Characteristic functions for multicontractions and automorphisms of the unit ball

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dc.creatorBenhida, Chafiq
dc.creatorTimotin, Dan
dc.date2005-09-05
dc.date.accessioned2026-07-07T05:22:57Z
dc.date.available2026-07-07T05:22:57Z
dc.descriptionA \emph{multicontraction} on a Hilbert space $\HH$ is an $n$-tuple of operators $T=(T_1,...,T_n)$ acting on $\HH$, such that $\sum_{i=1}^n T_i T_i^*\le \1_\HH$. We obtain some results related to the characteristic function of a commuting multicontraction, most notably discussing its behaviour with respect to the action of the analytic automorphisms of the unit ball.
dc.identifierhttps://arxiv.org/abs/math/0509094
dc.identifierhttp://arxiv.org/abs/math/0509094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76261
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47A45; 47A13
dc.titleCharacteristic functions for multicontractions and automorphisms of the unit ball
dc.typetext

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