Higher order Tsirelson spaces and their modified versions are isomorphic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00382585" target="_blank" >RIV/68407700:21230/24:00382585 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s43037-024-00359-5" target="_blank" >https://doi.org/10.1007/s43037-024-00359-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s43037-024-00359-5" target="_blank" >10.1007/s43037-024-00359-5</a>
Alternative languages
Result language
angličtina
Original language name
Higher order Tsirelson spaces and their modified versions are isomorphic
Original language description
We prove that for every countable ordinal ξ, the Tsirelson’s space Tξ of order ξ, is naturally, i.e., via the identity, 3-isomorphic to its modified version. For the first step, we prove that the Schreier family Sξ is the same as its modified version SξM, thus answering a question by Argyros and Tolias. As an application, we show that the algebra of linear bounded operators on Tξ has 2c closed ideals.
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Banach Journal of Mathematical Analysis
ISSN
2662-2033
e-ISSN
1735-8787
Volume of the periodical
18
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
29
Pages from-to
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UT code for WoS article
001238241100001
EID of the result in the Scopus database
2-s2.0-85195397035