C_p-versions of Lotz-Peck-Porta and Rosenthal theorems: scatteredness of infinite compact X characterized by complemented c_0 in subspaces of C_p(X), plus uncountable disjoint opens iff uncountable c_0(Γ) copy.
Schwartz, ´Etude des sommes d’exponentielles r´ eelles, Paris 1943
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Lotz-Peck-Porta and Rosenthal's theorems for spaces $C_p(X)$
C_p-versions of Lotz-Peck-Porta and Rosenthal theorems: scatteredness of infinite compact X characterized by complemented c_0 in subspaces of C_p(X), plus uncountable disjoint opens iff uncountable c_0(Γ) copy.