Extremal multipliers of the Drury–Arveson space
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- by Michael T. Jury and Robert T. W. Martin PDF
- Proc. Amer. Math. Soc. 146 (2018), 4293-4306 Request permission
Abstract:
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 $H^2_d$.References
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Additional Information
- Michael T. Jury
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
- MR Author ID: 742791
- Email: mjury@ufl.edu
- Robert T. W. Martin
- Affiliation: Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X1, Rondebosch 7701, South Africa
- MR Author ID: 830857
- Email: rtwmartin@gmail.com
- Received by editor(s): March 2, 2017
- Received by editor(s) in revised form: March 13, 2017, and December 21, 2017
- Published electronically: May 4, 2018
- Additional Notes: The second author acknowledges support of NRF CPRR Grant 90551.
- Communicated by: Stephan R. Garcia
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4293-4306
- MSC (2010): Primary 47B32
- DOI: https://doi.org/10.1090/proc/14062
- MathSciNet review: 3834659