In this paper, we prove existence of optimal bundles for a countable set of data in a broad class of normed spaces, which extend previous known results for a finite data set in a Hilbert space. In addition, we study the behavior of deviations and diameters for an increasing sequence of data sets.
"Optimal bundles in normed spaces." Ann. Funct. Anal. 4 (2) 87 - 96, 2013. https://doi.org/10.15352/afa/1399899527