A remark on the Aleksandrov diameters of finite-dimensional sets
type: Item
instance of: scholarly article
title: A remark on the Aleksandrov diameters of finite-dimensional sets
zbMATH Open document ID: 0708.46021
DOI: 10.1007/BF01078800
publication date: 1989-01-01T00:00:00Z
review text: Let L be a linear space, X, Y, Z three norms on L. If BX and BY stand for the unit balls of the normed spaces (L,X) and (L,Y) then the k- dimensional Alexandrov diameters satisfy the inequality \[ a_{k_ 1+k_ 2}(BX,Z)\leq a_{k_ 1}(BX,Y)a_{k_ 2}(BY,Z). \]
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B99
zbMATH DE Number: 4163518
zbMATH Keywords: k-dimensional Alexandrov diameters
author: A. B. Khodulëv
reviewed by: Vlastimil Pták
MaRDI profile type: Publication
cites work: Q4100534
cites work: Q4115573
full work available at URL: https://doi.org/10.1007/bf01078800
OpenAlex ID: W2035085829
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4163518