Abstract
We study the Bohr radius of the unit ball of a~complex $n$-dimensional Banach space with an $1$-unconditional basis in terms of its lattice convexity/concavity constants. As an application we give asymptotic estimates of the Bohr radius of the unit ball of the $n$-th section of Lorentz and Marcinkiewicz sequence spaces.
Citation
Andreas Defant. Mieczysław Mastyło. Sunke Schlüters. "On Bohr radii of finite dimensional complex Banach spaces." Funct. Approx. Comment. Math. 59 (2) 251 - 268, December 2018. https://doi.org/10.7169/facm/1728
Information