巴拿赫空间上的近似规范加法映射

IF 0.8 3区 数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-07-04 DOI:10.1112/blms.13115
Longfa Sun, Gang Cai, Bentuo Zheng
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引用次数: 0

摘要

让是两个巴拿赫空间,是某个 ,即 ,的-正负映射,在本文中,我们证明,如果 与 ,是射出的,那么存在一个线性射出等距,使得估计是尖锐的。我们还通过线性等距来近似连续函数空间正锥间的标准-正负映射,近似误差很小。
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Approximate norm-additive maps on Banach spaces

Let X , Y $X, Y$ be two Banach spaces, F : X Y $F:X\rightarrow Y$ be an ε $\varepsilon$ -norm-additive map for some ε 0 $\varepsilon \geqslant 0$ , that is,

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来源期刊
CiteScore
1.90
自引率
0.00%
发文量
198
审稿时长
4-8 weeks
期刊介绍: Published by Oxford University Press prior to January 2017: http://blms.oxfordjournals.org/
期刊最新文献
Issue Information The covariant functoriality of graph algebras Issue Information On a Galois property of fields generated by the torsion of an abelian variety Cross-ratio degrees and triangulations
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