Characteristic functions for multicontractions and automorphisms of the unit ball

2005/09/05 by Chafiq Benhida, Benhida, Chafiq, Dan Timotin +1 · 1 citation
Mathematics · #47A13 #47A45 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:47A13 #msc:47A45

paper · pdf · doi:10.48550/arxiv.math/0509094

arxiv created 2005/09/05 · openalex publication_date 2005/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A multicontraction on a Hilbert space \HH is an n-tuple of operators T=(T₁,...,T_n) acting on \HH, such that ∑_i=1ⁿ T_i T_i^*≤ \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.

Cited by

• Taylor spectrum and characteristic functions of commuting 2-contractions

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