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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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