自反Banach空间中的Legendre形式

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2018-10-18 DOI:10.4171/ZAA/1619

Felix Harder

引用次数: 2

摘要

勒让德形式在文献中用于（自反）Banach空间中优化问题的二阶充分最优性条件。我们证明了如果一个勒让德形式存在于自反Banach空间上，那么这个空间已经同构于Hilbert空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Legendre Forms in Reflexive Banach Spaces

Legendre forms are used in the literature for second-order sufficient optimality conditions of optimization problems in (reflexive) Banach spaces. We show that if a Legendre form exists on a reflexive Banach space, then this space is already isomorphic to a Hilbert space.

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.