\(k\)-uniform rotundity is equivalent to \(k\)-uniform convexity

DOI10.1016/j.bulsci.2018.03.004zbMath1407.46012OpenAlexW2795352720WikidataQ130059482 ScholiaQ130059482MaRDI QIDQ1670376

W. Ramasinghe

Publication date: 5 September 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.03.004

zbMATH Keywords

Banach spaceuniform convexityuniform rotundity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (1)

Multidimensional moduli of convexity and rotundity in Banach spaces

Cites Work

• k-uniform rotundity is equivalent to k-uniform convexity
• Multi-dimensional volumes and moduli of convexity in Banach spaces
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE

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