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

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© 2017 American Mathematical Society.

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title = "Metric entropy of q-hulls in banach spaces of type-p",

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 = "Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",

year = "2017",

month = dec,

doi = "10.1090/proc/13627",

language = "English (US)",

volume = "145",

pages = "5205--5214",

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AU - Cockreham, James

AU - Gao, Fuchang

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N2 - Optimal upper bound estimates for metric entropy of lq -hulls, 0 < q ≤ 1, are obtained for precompact sets in Banach spaces of type-p.

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

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JO - Proceedings of the American Mathematical Society

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

Abstract

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