Las propiedades $(L\beta)$ y $(s\beta)$ en un espacio de Banach

In this paper we introduce two properties for the norm in a Banach space: the local property ($\beta$) and the stream ($\beta$). These properties are between the corresponding of rotundity and those similar to type ($\alpha$). We prove that they are stable for generalized Banach products and we study the other hereditary properties.