On complemented copies of the space <i>c</i>₀ in spaces Cp(X,E)$C_p(X,E)$

Abstract We study the question for which Tychonoff spaces X and locally convex E space of continuous ‐valued functions on contains a complemented copy , both endowed with pointwise topology. provide positive answer vast class spaces, extending classical theorems Cembranos, Freniche, Domański Drewnowski, proved case Banach Fréchet . Also, given infinite Y we show that if only any such subspace.