Biconcave-function characterisations of UMD and Hilbert spaces

DOI10.1017/S0004972700012533zbMath0798.46011MaRDI QIDQ5288109

Jinsik Mok Lee

Publication date: 25 August 1993

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bochner integrable functionsbiconcave functions\(X\)-valued martingale difference sequences are unconditional in the Lebesgue-Bochner spaceBurkholder's biconvex function characterization of Hilbert spaces

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Probabilistic methods in Banach space theory (46B09) Martingales and classical analysis (60G46) Probability theory on linear topological spaces (60B11)

Cites Work

• Boundary value problems and sharp inequalities for martingale transforms
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Characterizations of inner product spaces
• An Elementary Proof of an Inequality of R. E. A. C. Paley

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