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A letter concerning Leonetti's paper 'Continuous Projections onto Ideal Convergent Sequences'

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00498574" target="_blank" >RIV/67985840:_____/19:00498574 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00025-018-0936-0" target="_blank" >http://dx.doi.org/10.1007/s00025-018-0936-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00025-018-0936-0" target="_blank" >10.1007/s00025-018-0936-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A letter concerning Leonetti's paper 'Continuous Projections onto Ideal Convergent Sequences'

  • Original language description

    Leonetti proved that whenever I is an ideal on N such that there exists an uncountable family of sets that are not in I with the property that the intersection of any two distinct members of that family is in I, then the space c0, I of sequences in 8 that converge to 0 along I is not complemented. We provide a shorter proof of a more general fact that the quotient space 8/ c0, I does not even embed into l(infinity).

  • 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/GA17-27844S" target="_blank" >GA17-27844S: Generic objects</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Results in Mathematics

  • ISSN

    1422-6383

  • e-ISSN

  • Volume of the periodical

    74

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    4

  • Pages from-to

    12

  • UT code for WoS article

    000452189200001

  • EID of the result in the Scopus database

    2-s2.0-85058849349