Characteristic functions for multicontractions and automorphisms of the unit ball

Chafiq Benhida; Dan Timotin

Characteristic functions for multicontractions and automorphisms of the unit ball

Operator Algebras 2007-05-23 v1 Functional Analysis

Authors: Chafiq Benhida , Dan Timotin

Abstract

A \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.

Keywords

multicontraction characteristic function hilbert space analytic automorphisms unit ball

Cite

@article{arxiv.math/0509094,
  title  = {Characteristic functions for multicontractions and automorphisms of the unit ball},
  author = {Chafiq Benhida and Dan Timotin},
  journal= {arXiv preprint arXiv:math/0509094},
  year   = {2007}
}

Characteristic functions for multicontractions and automorphisms of the unit ball

Abstract

Keywords

Cite

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