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Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00562919" target="_blank" >RIV/67985840:_____/22:00562919 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/22:10456417

  • Result on the web

    <a href="https://doi.org/10.1093/imrn/rnab193" target="_blank" >https://doi.org/10.1093/imrn/rnab193</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/imrn/rnab193" target="_blank" >10.1093/imrn/rnab193</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces

  • Original language description

    We investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric space B in such a way that the corresponding Lipschitz-free spaces F(M) and F(B) are isomorphic. The construction we provide is functorial in a weak sense and has the advantage of being explicit. Apart from its intrinsic theoretical interest, it has many applications in that it allows to transfer many arguments valid for Lipschitz-free spaces over bounded spaces to Lipschitz-free spaces over unbounded spaces. Furthermore, we show that with a slightly modified pointwise multiplication, the space Lip0(M) of scalar-valued Lipschitz functions vanishing at zero over any (unbounded) pointed metric space is a Banach algebra with its canonical Lipschitz norm.

  • 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/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Mathematics Research Notices

  • ISSN

    1073-7928

  • e-ISSN

    1687-0247

  • Volume of the periodical

    2022

  • Issue of the periodical within the volume

    20

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    36

  • Pages from-to

    16327-16362

  • UT code for WoS article

    000756558600001

  • EID of the result in the Scopus database

    2-s2.0-85134338207