A multiplier Algebra functional calculus

Kelly Bickel; Michael Hartz; J. O.H.N.E. McCarthy

doi:10.1090/tran/7381

A multiplier Algebra functional calculus

Kelly Bickel, Michael Hartz, J. O.H.N.E. McCarthy

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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 = (T ₁ , …, T _d ) 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 C ^d .

Original language	English
Pages (from-to)	8467-8482
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	370
Issue number	12
DOIs	https://doi.org/10.1090/tran/7381
State	Published - Dec 1 2018

Keywords

Functional calculus
Multiplier Algebra
Unit ball

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10.1090/tran/7381

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abstract = " 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 = (T 1 , …, T d ) 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 C d .",

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AB - 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 = (T 1 , …, T d ) 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 C d .

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KW - Unit ball

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A multiplier Algebra functional calculus

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