A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties
A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties
The paper contains a new proof of the fact that the Hahn-Banach majorized extension theorem for linear operators is valid iff the range ordered space is conditionally complete. The proof is based on quite different principles than the original proof of Bonnice, Silverman and To. The key element is a …