Extremal multipliers of the Drury–Arveson space-Reference-Cited by-同舟云学术

Extremal multipliers of the Drury–Arveson space

Published:2018-05-04 Issue:10 Volume:146 Page:4293-4306
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jury Michael,Martin Robert

Abstract

We give a new characterization of the so-called quasi-extreme multipliers of the Drury–Arveson space H d 2 H^2_d and show that every quasi-extreme multiplier is an extreme point of the unit ball of the multiplier algebra of H d 2 H^2_d .

Funder

National Research Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-10/S0002-9939-2018-14062-9/proc14062_AM.pdf

Reference12 articles.

1. Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions;Ball, Joseph A.,2010

2. Transfer-function realization for multipliers of the Arveson space;Ball, Joseph A.;J. Math. Anal. Appl.,2007

3. Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces;Ball, Joseph A.,2001

4. Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras;Davidson, Kenneth R.;Integral Equations Operator Theory,1998

5. Toeplitz algebras, subnormal tuples and rigidity on reproducing 𝐂[𝐳₁,…,𝐳_{𝐝}]-modules;Guo, Kunyu;J. Funct. Anal.,2004

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