A nonlinear representation of dual spaces and its applications

被引：0
|
作者：
Delzant, T. [1 ]
Komornik, V. [1 ]
机构：
[1] Univ Strasbourg, UFR Math & Informat, 7 Rue Rene Descartes, F-67084 Strasbourg, France
来源：
ACTA MATHEMATICA HUNGARICA | 2020年 / 160卷 / 01期
关键词：
Banach space; dual space; Hilbert space; Orlicz space; uniform convexity; Lagrange multiplier; Riesz representation theorem; Lebesgue integral;
D O I：
10.1007/s10474-019-01002-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a nonlinear representation of the duals for a class of Banach spaces. This leads to classroom-friendly proofs of the classical representation theorems H ' = H and (Lp)' = Lq. Our proofs extend to a family of Orlicz spaces, and yield as an unexpected byproduct a version of the Helly-Hahn-Banach theorem.
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页码：217 / 228
页数：12
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