Involve: A Journal of Mathematics
- Volume 11, Number 5 (2018), 857-866.
Time stopping for Tsirelson's norm
Tsirelson’s norm on is defined as the limit of an increasing sequence of norms . For each let be the smallest integer satisfying for all with . We show that is . This is an improvement of the upper bound of given by P. Casazza and T. Shura in their 1989 monograph on Tsirelson’s space.
Involve, Volume 11, Number 5 (2018), 857-866.
Received: 18 April 2017
Revised: 21 July 2017
Accepted: 14 August 2017
First available in Project Euclid: 12 April 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46B03: Isomorphic theory (including renorming) of Banach spaces
Beanland, Kevin; Duncan, Noah; Holt, Michael. Time stopping for Tsirelson's norm. Involve 11 (2018), no. 5, 857--866. doi:10.2140/involve.2018.11.857. https://projecteuclid.org/euclid.involve/1523498548