Maharam-types and Lyapunov's theorem for vector measures on Banach spaces
From MaRDI portal
Publication:2509818
zbMath1298.28027MaRDI QIDQ2509818
Publication date: 30 July 2014
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1403534490
Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)
Related Items (13)
An exact Fatou lemma for Gelfand integrals: a characterization of the Fatou property ⋮ Convex Representatives of the Value Function and Aumann Integrals in Normed Spaces ⋮ Relaxed large economies with infinite-dimensional commodity spaces: the existence of Walrasian equilibria ⋮ The Walrasian objection mechanism and Mas-Colell's bargaining set in economies with many commodities ⋮ Equilibria in a large production economy with an infinite dimensional commodity space and price dependent preferences ⋮ Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces ⋮ An infinite dimensional purification principle without saturation ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ On Vind's theorem for an economy with atoms and infinitely many commodities ⋮ Optimality Conditions for Nonconvex Variational Problems with Integral Constraints in Banach Spaces ⋮ A convexity result for the range of vector measures with applications to large economies ⋮ Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming ⋮ The intermediate value theorem and decision-making in psychology and economics: an expositional consolidation
Cites Work
- Unnamed Item
- Unnamed Item
- The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment
- Set-valued functions, Lebesgue extensions and saturated probability spaces
- On the convexity and compactness of the integral of a Banach space valued correspondence
- Saturation and the integration of Banach valued correspondences
- Theorems on the core of an economy with infinitely many commodities and consumers
- Why saturated probability spaces are necessary
- Remark on the Lyapunov theorem on vector measure
- On the theory of vector valued Loeb measures and integration
- Distributional properties of correspondences on Loeb spaces
- Approximate convexity of average sums of sets in normed linear spaces
- On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
- Operator methods in classical mechanics. II
- Weak Compactness and Vector Measures
- Adapted Probability Distributions
- ON THE LYAPUNOFF-KNOWLES THEOREM
- Lyapunov Vector Measures
- Some Remarks on the Core of a "Large" Economy
- On Liapunov's convexity theorem.
- Lyapunov Convexity Type Theorems For Non-Atomic Vector Measures
- The Hamel Dimension of any Infinite Dimensional Separable Banach Space is c
- Purification and saturation
- On a Theorem of Lyapunov
- Integration of Correspondences on Loeb Spaces
- On Homogeneous Measure Algebras
This page was built for publication: Maharam-types and Lyapunov's theorem for vector measures on Banach spaces