Schutt's theorem for vector-valued sequence spaces

DE Edmunds; Yuri Netrusov

doi:10.1016/j.jat.2013.11.001

Schutt's theorem for vector-valued sequence spaces

DE Edmunds, Yuri Netrusov

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

Abstract

The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained.

Original language	English
Number of pages	10
Journal	Journal of Approximation Theory
Early online date	14 Nov 2013
DOIs	https://doi.org/10.1016/j.jat.2013.11.001
Publication status	Published - 2013

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To appear in Journal of Approximation Theory

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@article{6302bcb092634139afdd6974f847e1d0,

title = "Schutt's theorem for vector-valued sequence spaces",

abstract = "The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained.",

author = "DE Edmunds and Yuri Netrusov",

note = "To appear in Journal of Approximation Theory",

year = "2013",

doi = "10.1016/j.jat.2013.11.001",

language = "English",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press",

}

TY - JOUR

T1 - Schutt's theorem for vector-valued sequence spaces

AU - Edmunds, DE

AU - Netrusov, Yuri

N1 - To appear in Journal of Approximation Theory

PY - 2013

Y1 - 2013

N2 - The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained.

AB - The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained.

U2 - 10.1016/j.jat.2013.11.001

DO - 10.1016/j.jat.2013.11.001

M3 - Article (Academic Journal)

SN - 0021-9045

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

ER -

Schutt's theorem for vector-valued sequence spaces

Abstract

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