A Note on Liftings of Linear Continuous Functionals

DOI10.2307/2159881zbMath0802.46046OpenAlexW4230161646MaRDI QIDQ4286401

Horst Osswald

Publication date: 27 March 1994

Full work available at URL: https://doi.org/10.2307/2159881

zbMATH Keywords

liftingbounded Loeb spaceliftings of linear continuous functionals

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) Classical Banach spaces in the general theory (46B25) Functional analytic lifting theory (46G15)

Related Items

From Probability Measures to Each Lévy Triplet and Back

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An infinitesimal approach to stochastic analysis
• A functional approach to nonstandard measure theory
• Nonstandard Construction of the Stochastic Integral and Applications to Stochastic Differential Equations.I
• Addendum to "Hyperdefinite stochastic integration III".
• Vector valued Loeb measures and the Lewis integral.
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• A nonstandard representation for Brownian motion and Itô integration