Normal and starlike tilings in separable Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:500

Article

Deville, Robert¹  Jimenez-Sevilla, Mar^2,3 

[1] Univ Bordeaux 1, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France

[2] Univ Complutense Madrid, Fac Ciencias Matemat, Inst Matemat Interdisciplinar, Madrid 28040, Spain

[3] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Anal Matemat & Matemat Aplicada, Madrid 28040, Spain

关键词: Tilings;   

DOI  :  10.1016/j.jmaa.2021.125116

来源: Elsevier

【 摘 要 】

In this note, we provide a starlike and normal tiling in any separable Banach space. That means, there are positive constants rand R(not depending on the separable Banach space) such that every tile of this tiling is starlike, contains a ball of radius rand is contained in a ball of radius R. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free