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Entropy numbers of finite-dimensional embeddings

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422174" target="_blank" >RIV/00216208:11320/20:10422174 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/20:00343524

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=BXl5m-G8IT" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=BXl5m-G8IT</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.exmath.2019.04.001" target="_blank" >10.1016/j.exmath.2019.04.001</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Entropy numbers of finite-dimensional embeddings

  • Original language description

    Entropy numbers and covering numbers of sets and operators are well known geometric notions, which found many applications in various fields of mathematics, statistics, and computer science. Their values for finite-dimensional embeddings id : l(p)(n) -&gt; l(q)(n), 0 &lt; p, q &lt;= infinity, are known (up to multiplicative constants) since the pioneering work of Schutt in 1984, with later improvements by Edmunds and Triebel, Kuhn and Guedon and Litvak. The aim of this survey is to give a self-contained presentation of the result and an overview of the different techniques used in its proof. (C) 2019 Elsevier GmbH. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-00580S" target="_blank" >GA18-00580S: Function Spaces and Approximation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Expositiones Mathematicae

  • ISSN

    0723-0869

  • e-ISSN

  • Volume of the periodical

    38

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    18

  • Pages from-to

    319-336

  • UT code for WoS article

    000577538100003

  • EID of the result in the Scopus database

    2-s2.0-85064241898