Geodesic
Mazur–Orlicz equality
Fon-Che Liu1
1 Department of Mathematics Tamkang University Tamshui, Taiwan
Studia Mathematica, Tome 189 (2008) no. 1, pp. 53-63

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A remarkable theorem of Mazur and Orlicz which generalizes the Hahn–Banach theorem is here put in a convenient form through an equality which will be referred to as the Mazur–Orlicz equality. Applications of the Mazur–Orlicz equality to lower barycenters for means, separation principles, Lax–Milgram lemma in reflexive Banach spaces, and monotone variational inequalities are provided.
DOI : 10.4064/sm189-1-5
Mots-clés : remarkable theorem mazur orlicz which generalizes hahn banach theorem here put convenient form through equality which referred mazur orlicz equality applications mazur orlicz equality lower barycenters means separation principles lax milgram lemma reflexive banach spaces monotone variational inequalities provided

Fon-Che Liu 1

1 Department of Mathematics Tamkang University Tamshui, Taiwan 
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Fon-Che Liu. Mazur–Orlicz equality. Studia Mathematica, Tome 189 (2008) no. 1, pp. 53-63. doi: 10.4064/sm189-1-5

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