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On a classical renorming construction of V. Klee

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00367447" target="_blank" >RIV/67985840:_____/12:00367447 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jmaa.2011.06.059" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2011.06.059</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2011.06.059" target="_blank" >10.1016/j.jmaa.2011.06.059</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On a classical renorming construction of V. Klee

  • Original language description

    We further develop a classical geometric construction of V. Klee and show, typically, that if X is a nonreflexive Banach space with separable dual, then X admits an equivalent norm vertical bar . vertical bar which is Frechet differentiable, locally uniformly rotund, its dual norm vertical bar . vertical bar* is uniformly Gateaux differentiable, the weak* and the norm topologies coincide on the sphere of (X*, vertical bar . vertical bar*) and, yet, vertical bar . vertical bar* is not rotund. This proves(a stronger form of) a conjecture of V. Klee.

  • 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/IAA100190901" target="_blank" >IAA100190901: Topological and geometric structures in Banach spaces</a><br>

  • Continuities

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

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    385

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    458-465

  • UT code for WoS article

    000294979100044

  • EID of the result in the Scopus database