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Isometries of combinatorial Tsirelson spaces

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    SYSNO ASEP0575754
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleIsometries of combinatorial Tsirelson spaces
    Author(s) Maślany, Natalia (MU-W) ORCID, SAI
    Source TitleProceedings of the American Mathematical Society. - : American Mathematical Society - ISSN 0002-9939
    Roč. 151, č. 10 (2023), s. 4475-4484
    Number of pages10 s.
    Languageeng - English
    CountryUS - United States
    Keywordscombinatorial spaces ; combinatorial Tsirelson spaces ; higher-order Schreier families
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGF20-22230L GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS001008551300001
    EID SCOPUS85172124433
    DOI https://doi.org/10.1090/proc/16465
    AnnotationWe extend existing results that characterize isometries on the Tsirelson-type spaces ... to the class ..., where S_\alpha denote the Schreier families of order \alpha. We prove that every isometry on ... is determined by a permutation of the first ... elements of the canonical unit basis followed by a possible sign-change of the corresponding coordinates together with a sign-change of the remaining coordinates. Moreover, we show that for the spaces ..., the isometries exhibit a more rigid character, namely, they are all implemented by a sign-change operation of the vector cordinates.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2024
    Electronic addresshttps://doi.org/10.1090/proc/16465
Number of the records: 1  

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