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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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Metric entropy of $q$-hulls in Banach spaces of type-$p$
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by James Cockreham, Fuchang Gao and Yuhong Yang PDF
Proc. Amer. Math. Soc. 145 (2017), 5205-5214 Request permission

Abstract:

Optimal upper bound estimates for metric entropy of $l_q$-hulls, $0<q\le 1$, are obtained for precompact sets in Banach spaces of type-$p$.
References
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Additional Information
  • James Cockreham
  • Affiliation: Department of Mathematics, University of Idaho, Moscow, Idaho 83844-1103
  • Email: jmcockreham@alaska.edu
  • Fuchang Gao
  • Affiliation: Department of Mathematics, University of Idaho, Moscow, Idaho 83844-1103
  • MR Author ID: 290983
  • Email: fuchang@uidaho.edu
  • Yuhong Yang
  • Affiliation: School of Statistics, University of Minnesota, Minneapolis, Minnesota 55455
  • MR Author ID: 627909
  • Email: yyang@stat.umn.edu
  • Received by editor(s): November 2, 2015
  • Received by editor(s) in revised form: December 19, 2016
  • Published electronically: June 22, 2017
  • Additional Notes: The research of the second author was partially supported by a grant from the Simons Foundation, #246211.
    The research of the third author was partially supported by the National Natural Science Foundation of China, #61572109
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 5205-5214
  • MSC (2010): Primary 47B06, 52A27, 41A46
  • DOI: https://doi.org/10.1090/proc/13627
  • MathSciNet review: 3717949