The uniform bounded deciding property and the separable quotient problem

[EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties equivalent to the existence of an infinite dimensional separable quotient in a Banach space with nice simplified proofs. In the frame of uniform bounded deciding property, we prove that for an infinite dimensional Banach space E the following properties are equivalents: 1) The unit sphere of E contains a dense and non uniform bounded deciding subset. 2) The unit sphere S of E contains a dense and non strong norming subset. 3) E admits an infinite dimensional separable quotient.