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Lotz-Peck-Porta and Rosenthal's theorems for spaces $C_p(X)$

math.FA · 2025-09-10 · unverdicted · novelty 7.0

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.

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  • Lotz-Peck-Porta and Rosenthal's theorems for spaces $C_p(X)$ math.FA · 2025-09-10 · unverdicted · none · ref 21

    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.