Strategically reproducible bases and the factorization property
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00346273" target="_blank" >RIV/68407700:21230/20:00346273 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11856-020-2011-2" target="_blank" >https://doi.org/10.1007/s11856-020-2011-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-020-2011-2" target="_blank" >10.1007/s11856-020-2011-2</a>
Alternative languages
Result language
angličtina
Original language name
Strategically reproducible bases and the factorization property
Original language description
We introduce the concept of strategically reproducible bases in Banach spaces and show that operators which have large diagonal with respect to strategically reproducible bases are factors of the identity. We give several examples of classical Banach spaces in which the Haar system is strategically reproducible: multi-parameter Lebesgue spaces, mixed-norm Hardy spaces and most significantly the space L-1. Moreover, we show the strategical reproducibility is inherited by unconditional sums.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ISRAEL JOURNAL OF MATHEMATICS
ISSN
0021-2172
e-ISSN
1565-8511
Volume of the periodical
238
Issue of the periodical within the volume
1
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
48
Pages from-to
13-60
UT code for WoS article
000534408400001
EID of the result in the Scopus database
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