On some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm (Q1280292)

Criteria for strong \(U\)-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund-points and locally uniformly rotund-points in Orlicz sequence spaces equipped with the Luxemburg norm are given and several relations among them are found. It is also shown that in any Banach space \(X\) strong \(U\)-points are exposed points and that these points are related to very smooth points in the dual space \(X^*\).