Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Nevanlinna-Pick spaces with hyponormal multiplication operators
HTML articles powered by AMS MathViewer

by Michael Hartz PDF
Proc. Amer. Math. Soc. 143 (2015), 2905-2912 Request permission

Abstract:

We show that the Hardy space on the unit disk is the only non-trivial irreducible reproducing kernel Hilbert space which satisfies the complete Nevanlinna-Pick property and hyponormality of all multiplication operators.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46E22, 47B32, 47B20
  • Retrieve articles in all journals with MSC (2010): 46E22, 47B32, 47B20
Additional Information
  • Michael Hartz
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • MR Author ID: 997298
  • Email: mphartz@uwaterloo.ca
  • Received by editor(s): August 18, 2013
  • Received by editor(s) in revised form: September 17, 2013, and September 25, 2013
  • Published electronically: March 12, 2015
  • Additional Notes: The author was partially supported by an Ontario Trillium Scholarship.
  • Communicated by: Pamela B. Gorkin
  • © Copyright 2015 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 2905-2912
  • MSC (2010): Primary 46E22; Secondary 47B32, 47B20
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12373-8
  • MathSciNet review: 3336615