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Projection constants and spaces of continuous functions

Projection constants and spaces of continuous functions

i) 1. Theorems.A real Banach space X will be called injective(2) if for every Banach space Y and subspace Y0, every linear operation(3) T0:Y0^> X can be extended to a linear operation T : Y-* X.An equivalent condition is this: for every Banach space Z containing X as a subspace, …