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
On the extension of isometries between the unit spheres of von Neumann algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.062
Abstract: We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebras. read more here.
Keywords: extension isometries; unit spheres; neumann algebras; von neumann ... See more keywords