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2018 Time stopping for Tsirelson's norm
Kevin Beanland, Noah Duncan, Michael Holt
Involve 11(5): 857-866 (2018). DOI: 10.2140/involve.2018.11.857

Abstract

Tsirelson’s norm T on c00 is defined as the limit of an increasing sequence of norms (n)n=1. For each n let j(n) be the smallest integer satisfying xj(n)=xT for all x with maxsuppx=n. We show that j(n) is O(n12). This is an improvement of the upper bound of O(n) given by P. Casazza and T. Shura in their 1989 monograph on Tsirelson’s space.

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Kevin Beanland. Noah Duncan. Michael Holt. "Time stopping for Tsirelson's norm." Involve 11 (5) 857 - 866, 2018. https://doi.org/10.2140/involve.2018.11.857

Information

Received: 18 April 2017; Revised: 21 July 2017; Accepted: 14 August 2017; Published: 2018
First available in Project Euclid: 12 April 2018

zbMATH: 06866588
MathSciNet: MR3784031
Digital Object Identifier: 10.2140/involve.2018.11.857

Subjects:
Primary: 46B03

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.11 • No. 5 • 2018
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