Approximate smoothness in normed linear spaces

被引：2
|
作者：
Chmielinski, Jacek [1 ]
Khurana, Divya [2 ]
Sain, Debmalya [3 ]
机构：
[1] Pedag Univ Krakow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland
[2] IIM Ranchi Suchana Bhawan, Humanities & Appl Sci, Audrey House Campus,Meurs Rd, Ranchi 834008, Jharkhand, India
[3] Indian Inst Informat Technol, Dept Math, Raichur 584135, Karnataka, India
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 03期
关键词：
Smoothness; Rotundity; Approximate smoothness; Approximate rotundity; Birkhoff-James orthogonality; Approximate Birkhoff-James orthogonality; Supporting hyperplanes; Polyhedral spaces; Direct sums; BIRKHOFF-JAMES ORTHOGONALITY;
D O I：
10.1007/s43037-023-00263-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of approximate smoothness in a normed linear space. We characterize this property and show the connections between smoothness and approximate smoothness for some spaces. As an application, we consider in particular the Birkhoff-James orthogonality and its right-additivity under the assumption of approximate smoothness.
引用
收藏
页数：23
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