Abstract:First, we extend the criteria for smooth points of $S(L_{M})$ from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of $S(L_{M})$.
Keywords: smooth points, very smooth points, strongly smooth points, Musielak-Orlicz function spaces, Luxemburg norm
AMS Subject Classification: 46E30, 46E40, 46B20