Average approximations and moments of measures

DOI10.1006/JCOM.2000.0541zbMath0953.41015OpenAlexW1998084965MaRDI QIDQ1578425

Vladimir I. Bogachev

Publication date: 30 January 2001

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcom.2000.0541

zbMATH Keywords

Gauss measureinformation operatormoments of measuresaverage approximationsnon-adaptive operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

Kantorovich type topologies on spaces of measures and convergence of barycenters

Cites Work

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• s-numbers in information-based complexity
• Probabilistic complexity analysis for linear problems in bounded domains
• Can adaption help on the average?
• Optimal algorithms for linear problems with Gaussian measures
• Locally convex spaces with the property of central limit theorem and measure supports
• Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law
• Convex measures on locally convex spaces
• Geometry of Banach spaces. Selected topics
• Measurable norms and some Banach space valued Gaussian processes
• Renorming a Banach space to make a given subspace Chebyshev
• Linear ill-posed problems are solvable on the average for all Gaussian measures
• Supports of Probability Measures in Separable Banach Spaces
• What is the complexity of ill-posed problems?
• Gaussian radon measures on locally convex spaces.
• On the small balls problem for equivalent Gaussian measures

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