Characteristic functions for multicontractions and automorphisms of the unit ball

Details Characteristic functions for multicontractions and automorphisms of the unit ball Characteristic functions for multicontractions and automorphisms of the unit ball

2005-09-05

arxiv.org/abs/math/0509094v1

Mathematics

Operator Algebras

Scientific paper

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.

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