A fully convex Banach space which does not have the Banach-Saks property

DOI10.1016/0022-247X(86)90261-1zbMath0603.46019MaRDI QIDQ1082575

Pei-Kee Lin, Bor-Luh LIn

Publication date: 1986

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

zbMATH Keywords

Banach-Saks propertysuperreflexive spaceCesara meanfully k-convex

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

\(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces ⋮ Full 2-convexity in Bochner \(L^ p\)-spaces

Cites Work

• Unnamed Item
• Some geometric properties of the spheres in a normed linear space
• On the k-uniform rotund and the fully convex Banach spaces
• Geometry of Banach spaces. Selected topics
• Some geometric properties of Lorentz sequence spaces
• Banach-Saks properties and spreading models.
• On the Banach–Saks property
• On reflexivity and summability
• Reflexivity and summability
• FULLY CONVEX NORMED LINEAR SPACES

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