k-uniform rotundity is equivalent to k-uniform convexity

DOI10.1016/0022-247X(88)90066-2zbMath0649.46014OpenAlexW2090010324MaRDI QIDQ1105808

Pei-Kee Lin

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90066-2

zbMATH Keywords

Banach spaceK-uniformly convexK-uniformly rotund

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items

Banach spaces which are dual to \(k\)-uniformly convex spaces ⋮ \(k\)-uniform rotundity is equivalent to \(k\)-uniform convexity ⋮ Multidimensional moduli of convexity and rotundity in Banach spaces ⋮ On uniform convexity of Banach spaces ⋮ GEOMETRIC AND FIXED POINT PROPERTIES IN PRODUCTS OF NORMED SPACES ⋮ \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces ⋮ Unnamed Item

Cites Work

• Multi-dimensional volumes and moduli of convexity in Banach spaces
• Multi-dimensional volumes, super-reflexivity and normal structure in Banach spaces
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE