On Minkowski Sums of Many Small Sets
Journal article, 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
Author
Maria Roginskaya
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Chalmers, Mathematical Sciences
V. S. Shulman
Vologda State University
Functional Analysis and its Applications
0016-2663 (ISSN) 1573-8485 (eISSN)
Vol. 52 3 232-235Subject Categories
Algebra and Logic
Mathematical Analysis
DOI
10.1007/s10688-018-0233-4