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Origin and context of adjunctions inducing equivalences between full subcategories

Question 1 I don't know if they are the first publications, but two very early references are Garrett Birkhoff (1940). Lattice Theory. Øystein Ore (1944). "Galois Connexions". (see Theorem 2 for a fo …
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Origin and context of adjunctions inducing equivalences between full subcategories

The following is well-known. Theorem. Let $F\dashv U$ be a pair of adjoint functors $$F\colon \mathcal C\to \mathcal D, \qquad U\colon \mathcal D\to\mathcal C$$ with unit $(\eta_A\colon A\to U(F(A)))_ …
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