On Minkowski Sums of Many Small Sets
Artikel i vetenskaplig tidskrift, 2018
It is proved that a weakly closed subset of a Banach space is convex if and only if it can be represented as the sum of sets of arbitrarily small diameter.
Minkowski addition
weak compactness
convexity
infinite divisibility
Författare
Maria Roginskaya
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Chalmers, Matematiska vetenskaper
V. S. Shulman
Vologda State University
Functional Analysis and its Applications
0016-2663 (ISSN) 1573-8485 (eISSN)
Vol. 52 3 232-235Ämneskategorier
Algebra och logik
Matematisk analys
DOI
10.1007/s10688-018-0233-4