Best ?- and N ?-approximants in Orlicz spaces of vector valued functions

DOI10.1007/BF00542638zbMath0458.60009MaRDI QIDQ3908224

Norbert Herrndorf

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

Orlicz spacesbest approximants in Orlicz spacesmartingale type convergence theorems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Probability theory on linear topological spaces (60B11)

Related Items (5)

Compacité faible dans l'espace \(L^ 1_ E\) et dans l'espace des multifonctions intégralement bornées, et minimisation. (Weak compactness in the space \(L^ 1_ E\) and in the space of integrally bounded multifunctions, and minimization) ⋮ Uniform rotundity of Musielak-Orlicz sequence spaces ⋮ On-line maximum likelihood prediction with respect to general loss functions ⋮ Approximation of vector-valued random variables by constants ⋮ Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma

Cites Work

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• Amarts: A class of asymptotic martingales. A: Discrete parameter
• Best approximants in L ? -spaces
• Counterexamples to results of M.M. Rao
• Best approximants in L 1 space
• Almost everywhere convergence of prediction sequence in L p (1 < p < ?)
• Inference in stochastic processes-III
• GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE

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