Optimal bundles in normed spaces

F. E. LEVIS; H. H. CUENYA

ANNALS OF FUNCTIONAL ANALYSIS

Tusi Mathematical Research Group

Lugar: Mashhad; Año: 2013 vol. 4 p. 87 - 96

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.