The question is as above. Is there a Schauder basis on the space? If there exists, can one construct such a basis explicitly? With the domain as a compact interval, Weierstrass theorem and polynomials pass through my mind...but I cannot proceed on. Could anyone help me?
2026-03-25 03:19:44.1774408784
Does there exist a Schauder basis for the space of complex valued continuous functions on a compact topological space?
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