Extremal multipliers of the Drury--Arveson space

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

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2018-10, Vol.146 (10), p.4293-4306
Main Authors: JURY, MICHAEL T., MARTIN, ROBERT T. W.
Format: Article
Language:English
Subjects:
B. ANALYSIS
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Summary:We give a new characterization of the so-called quasi-extreme multipliers of the Drury-Arveson space H^2_d and show that every quasi-extreme multiplier is an extreme point of the unit ball of the multiplier algebra of H^2_d.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14062