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

页数：23

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