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Weak* derived sets of convex sets in duals of non-reflexive spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441301" target="_blank" >RIV/00216208:11320/21:10441301 - isvavai.cz</a>

  • Result on the web

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

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jfa.2021.109259" target="_blank" >10.1016/j.jfa.2021.109259</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weak* derived sets of convex sets in duals of non-reflexive spaces

  • Original language description

    We investigate weak* derived sets, that is the sets of weak* limits of bounded nets, of convex subsets of duals of non-reflexive Banach spaces and their possible iterations. We prove that a dual space of any non-reflexive Banach space contains convex subsets of any finite order and a convex subset of order omega + 1. (C) 2021 Elsevier Inc. 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

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • 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 Functional Analysis

  • ISSN

    0022-1236

  • e-ISSN

  • Volume of the periodical

    281

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    109259

  • UT code for WoS article

    000709430900005

  • EID of the result in the Scopus database

    2-s2.0-85116399684