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Schauder bases in Lipschitz free spaces over nets of Linfinity-spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00362239" target="_blank" >RIV/68407700:21230/23:00362239 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s13398-022-01363-w" target="_blank" >https://doi.org/10.1007/s13398-022-01363-w</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s13398-022-01363-w" target="_blank" >10.1007/s13398-022-01363-w</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Schauder bases in Lipschitz free spaces over nets of Linfinity-spaces

  • Original language description

    In the present note, we give a construction (based on a retractional argument) of a Schauder basis for the Lipschitz free space F(N) over a net N in any separable infinite dimensional L-infinity-space X. In particular, this yields the first example of an infinite dimensional Banach space X not containing c(0) with such a property.

  • 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/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

  • ISSN

    1578-7303

  • e-ISSN

    1579-1505

  • Volume of the periodical

    117

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    22

  • Pages from-to

  • UT code for WoS article

    000889066900005

  • EID of the result in the Scopus database

    2-s2.0-85142607590