Mazur-Orlicz equality

Fon-Che Liu

Mazur-Orlicz equality

Fon-Che Liu

Studia Mathematica (2008)

Volume: 189, Issue: 1, page 53-63
ISSN: 0039-3223

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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.

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Fon-Che Liu. "Mazur-Orlicz equality." Studia Mathematica 189.1 (2008): 53-63. <http://eudml.org/doc/284758>.

@article{Fon2008,
abstract = {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.},
author = {Fon-Che Liu},
journal = {Studia Mathematica},
keywords = {sublinear functionals, Hahn-Banach theorem; barycenters; probability measure; minimax theorems; Lax-Milgram theorem; the theorem of Hartman and Stampacchia},
language = {eng},
number = {1},
pages = {53-63},
title = {Mazur-Orlicz equality},
url = {http://eudml.org/doc/284758},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Fon-Che Liu
TI - Mazur-Orlicz equality
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 1
SP - 53
EP - 63
AB - 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.
LA - eng
KW - sublinear functionals, Hahn-Banach theorem; barycenters; probability measure; minimax theorems; Lax-Milgram theorem; the theorem of Hartman and Stampacchia
UR - http://eudml.org/doc/284758
ER -

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