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Isometries of combinatorial Tsirelson spaces
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SYSNO ASEP 0575754 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Isometries of combinatorial Tsirelson spaces Author(s) Maślany, Natalia (MU-W) ORCID, SAI Source Title Proceedings of the American Mathematical Society. - : American Mathematical Society - ISSN 0002-9939
Roč. 151, č. 10 (2023), s. 4475-4484Number of pages 10 s. Language eng - English Country US - United States Keywords combinatorial spaces ; combinatorial Tsirelson spaces ; higher-order Schreier families Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GF20-22230L GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001008551300001 EID SCOPUS 85172124433 DOI https://doi.org/10.1090/proc/16465 Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1090/proc/16465
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