2020/05/05 by Haller, Rainis, Langemets, Johann, Lima, Vegard +2 · 1 citation
#46B20 #46B22 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2005.02045
Inspired by R. Whitley's thickness index the last named author recently introduced the Daugavet index of thickness of Banach spaces. We continue the investigation of the behavior of this index and also consider two new versions of the Daugavet index of thickness, which helps us solve an open problem which connect the Daugavet indices with the Daugavet equation. Moreover, we will improve the formerly known estimates of the behavior of Daugavet index on direct sums of Banach spaces by establishing sharp bounds. As a consequence of our results we prove that, for every 0