Factorizations of characteristic functions

Article Type

Research Article

Publication Title

Journal of Operator Theory

Abstract

Let A = (A1,..., An) and B = (B1,..., Bn) be row contractions on Hilbert spaces H1 and H2, respectively, and L be a contraction from Db = ranDB to DA* = ranDA*, where DB = (I - B*B)1/2 and DA*, = (I - AA*)1/2. Let ΘT be the characteristic function of T = Then ΘT coincides with the product of the characteristic function ΘA of A, the Julia-Halmos matrix corresponding to L and the characteristic function ΘB of B. More precisely, ΘT coincides with where Γ is the full Fock space. Similar results hold for constrained row contractions.

First Page

377

Last Page

390

DOI

10.7900/jot.2016apr20.2132

Publication Date

3-1-2017

Comments

Open Access, Green

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