A multiplier algebra functional calculus.

Publication Date

2018

Description

This paper generalizes the classical Sz.-Nagy–Foias H∞(D) functional calculus for Hilbert space contractions. In particular, we replace the single contraction T with a tuple T = (T1,...,Td) of commuting bounded operators on a Hilbert space and replace H∞(D) with a large class of multiplier algebras of Hilbert function spaces on the unit ball in Cd.

Journal

Transactions of the American Mathematical Society

Volume

370

Issue

12

First Page

8467

Last Page

8482

Department

Mathematics

Open Access

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