Uniform homeomorphisms of unit spheres and Property H of Lebesgue–Bochner function spaces
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-016-6245-1
Abstract: Assume that the unit spheres of Banach spaces X and Y are uniformly homeomorphic. Then we prove that all unit spheres of the Lebesgue–Bochner function spaces Lp(μ,X) and Lq(μ, Y) are mutually uniformly homeomorphic where… read more here.
Keywords: unit; function spaces; property; unit spheres ... See more keywords
Bourgain discretization using Lebesgue-Bochner spaces
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1605414
Abstract: Abstract We study the Lebesgue-Bochner discretization property of Banach spaces Y , which ensures that the Bourgain discretization modulus for Y has a good lower estimate. We prove that there exist spaces that do not… read more here.
Keywords: discretization; discretization using; bourgain discretization; using lebesgue ... See more keywords