2015/05/11 by Alexander Brudnyi, Brudnyi, Alexander
Mathematics · #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 41A65 #Secondary 30D60 #math.CA #math.FA #msc:30D60 #msc:41A65
paper · pdf · doi:10.48550/arxiv.1505.03322
31 pages
arxiv created 2015/05/11 · openalex publication_date 2015/05/11 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the structure of families of well approximable elements of tensor products of Banach spaces including analogs of the classical quasianalytic classes in the sense of Bernstein and Beurling. As in the case of quasianalytic functions, we prove for members of these families variants of the Mazurkiewicz and Markushevich theorems and in some particular cases, if such elements are Banach-valued continuous maps on a compact metric space, estimate massivity of their graphs and level sets.