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Smooth renormings of the Lebesgue-Bochner function space L-1(mu, X)

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00380501" target="_blank" >RIV/67985840:_____/12:00380501 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.4064/sm209-3-4" target="_blank" >http://dx.doi.org/10.4064/sm209-3-4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4064/sm209-3-4" target="_blank" >10.4064/sm209-3-4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Smooth renormings of the Lebesgue-Bochner function space L-1(mu, X)

  • Original language description

    We show that, if ? is a probability measure and X is a Banach space, then the space L 1 (?,X) of Bochner integrable functions admits an equivalent Gâteaux (or uniformly Gâteaux) smooth norm provided that X has such a norm, and that if X admits an equivalent Fréchet (resp. uniformly Fréchet) smooth norm, then L 1 (?,X) has an equivalent renorming whose restriction to every reflexive subspace is Fréchet (resp. uniformly Fréchet) smooth.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP201%2F11%2F0345" target="_blank" >GAP201/11/0345: Nonlinear functional analysis</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Studia mathematica

  • ISSN

    0039-3223

  • e-ISSN

  • Volume of the periodical

    209

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    19

  • Pages from-to

    247-265

  • UT code for WoS article

    000306256200004

  • EID of the result in the Scopus database