A natural Galois connection between generalized norms and metrics

Árpád Száz
2017 Acta Universitatis Sapientiae: Mathematica  
Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection between functions of X to ℝ and X2 to ℝ.
doi:10.1515/ausm-2017-0027 fatcat:5oiluavbu5aehbmwsafhu6ymd4