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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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.

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Spline characterizations of the Radon-Nikodým property
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by Markus Passenbrunner PDF
Proc. Amer. Math. Soc. 148 (2020), 811-824 Request permission

Abstract:

We give necessary and sufficient conditions for a Banach space $X$ having the Radon-Nikodým property in terms of polynomial spline sequences.
References
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Additional Information
  • Markus Passenbrunner
  • Affiliation: Institute of Analysis, Johannes Kepler University Linz, Altenberger Strasse 69, 4040 Linz, Austria
  • MR Author ID: 951570
  • Email: markus.passenbrunner@jku.at
  • Received by editor(s): July 6, 2018
  • Received by editor(s) in revised form: May 20, 2019
  • Published electronically: August 7, 2019
  • Additional Notes: This research was supported by the Austrian Science Fund (FWF), Projects P27723 and F5513-N26, where the latter is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications”
  • Communicated by: Stephen Dilworth
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 811-824
  • MSC (2010): Primary 65D07, 46B22, 42C10
  • DOI: https://doi.org/10.1090/proc/14711
  • MathSciNet review: 4052217