\(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\)
type: Item
instance of: scholarly article
title: \(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\)
zbMATH Open document ID: 1473.46025
DOI: 10.1155/2014/746309
author: Tomonari Suzuki
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first prove characterizations of \(p\)-uniform convexity and \(q\)-uniform smoothness. We next give a formulation on absolute normalized norms on \(\mathbb C^2\). Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not \(p\)-uniformly convex.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B07
zbMATH DE Number: 7023006
zbMATH Keywords: \(p\)-uniform convexity
zbMATH Keywords: \(q\)-uniform smoothness
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/746309
OpenAlex ID: W2275286701
Wikidata QID: Q59041178
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description: scientific article; zbMATH DE number 7023006