MSC: | 39B72 | Systems of functional equations and inequalities |
46A22 | Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10] |
Abstract:
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.