ABSTRACT

The structure of a unit ball in Orlicz sequence and general space is revealed, in the sense of its geometry, when one attaches an invariant for each space (as in the preceding chapters), and finds exact bounds (or best inequalities) for them. After introducing the relevant concepts and immediate consequences in the next section, we study the problems for Orlicz sequence spaces in Section 2, and then consider the corresponding problems for the spaces on the Lebesgue measure triples in the following section. Finally, Section 4 refines some of these results when the spaces are reflexive.