A note about \(L\omega R\) spaces. (Spanish. English summary) Zbl 0919.46012

Morales, José R.

Divulg. Mat. 6, No. 1, 15-19 (1998).

Summary: We prove that if \((E,\|\cdot\|)\) is a strictly convex \(LNUC\) Banach space then \(E\) is a \(L\omega R\) space.

MSC:

46B20

Geometry and structure of normed linear spaces

Keywords:

\((M)\) property; \((\omega M)\) property; strictly convex \(LNUC\) Banach space; \(L\omega R\) space