Metric entropy of q-hulls in banach spaces of type-p

James Cockreham; Fuchang Gao; Yuhong Yang

doi:10.1090/proc/13627

Metric entropy of q-hulls in banach spaces of type-p

James Cockreham, Fuchang Gao, Yuhong Yang

Statistics (Twin Cities)

Research output: Contribution to journal › Article › peer-review

Abstract

Optimal upper bound estimates for metric entropy of l_q -hulls, 0 < q ≤ 1, are obtained for precompact sets in Banach spaces of type-p.

Original language	English (US)
Pages (from-to)	5205-5214
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	12
DOIs	https://doi.org/10.1090/proc/13627
State	Published - Dec 2017

Bibliographical note

Funding Information:
Received by the editors November 2, 2015 and, in revised form, December 19, 2016. 2010 Mathematics Subject Classification. Primary 47B06, 52A27, 41A46. 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.

Publisher Copyright:
© 2017 American Mathematical Society.

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abstract = "Optimal upper bound estimates for metric entropy of lq -hulls, 0 < q ≤ 1, are obtained for precompact sets in Banach spaces of type-p.",

author = "James Cockreham and Fuchang Gao and Yuhong Yang",

note = "Funding Information: Received by the editors November 2, 2015 and, in revised form, December 19, 2016. 2010 Mathematics Subject Classification. Primary 47B06, 52A27, 41A46. 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. Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

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Metric entropy of q-hulls in banach spaces of type-p

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