Isometries of combinatorial Tsirelson spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575754" target="_blank" >RIV/67985840:_____/23:00575754 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1090/proc/16465" target="_blank" >https://doi.org/10.1090/proc/16465</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/16465" target="_blank" >10.1090/proc/16465</a>

Result language
angličtina
Original language name
Isometries of combinatorial Tsirelson spaces
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)