Mazur-Orlicz equality

• Autorzy: Fon-Che Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A22: Theorems of Hahn-Banach type; extension and lifting of functionals and operators
• 46A20: Duality theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 189
• Numer: 1
• Strony: 53-63

Daty

wydano

2008

Twórcy

autor

Fon-Che Liu

• Department of Mathematics, Tamkang University, Tamshui, Taiwan

Identyfikatory

DOI

10.4064/sm189-1-5