|MSC:||39B72||Systems of functional equations and inequalities|
|46A22||Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10]|
By using a particular case of the infimal convolution, we provide an instructive
proof for the dominated Hahn-Banach extension theorem.
Former proofs have only used this convolution rather implicitly.
Notes: The work of the authors has been supported by the
Hungarian Scientific Research Fund (OTKA) Grant NK-81402.