More on convexity and smoothness of operators

DOI10.1016/j.jmaa.2010.05.036zbMath1200.47001OpenAlexW1994370415MaRDI QIDQ990823

Li Xing Cheng, Qing Jin Cheng

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.036

zbMATH Keywords

convexityBanach spacesmoothnessmodulus of convexity\(p\)-convexity of operators

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Convex functions and convex programs in convex geometry (52A41) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Uniformly convex operators and martingale type
• The modulus of convexity in normed linear spaces
• Martingales with values in uniformly convex spaces
• Banach spaces which can be given an equivalent uniformly convex norm
• Uniformly convex functions on Banach spaces
• Opérateurs uniformément convexifiants
• On the moduli of convexity
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