Embedding theorems for classes of convex sets

DOI10.1007/BF00047343zbMath0596.52006OpenAlexW2091034804MaRDI QIDQ1078806

Klaus D. Schmidt

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047343

zbMATH Keywords

mapsmathematical economicsinterval mathematicstopological vector latticesclasses of convex setsembedding spaceembedding theorem ofembedding theorem of Rådströmfixed-point theorems for set-valuedHörmanderintegration of random setslimit theorem for random sets

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Interval and finite arithmetic (65G30) General equilibrium theory (91B50) General theory of locally convex spaces (46A03) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Ordered topological linear spaces, vector lattices (46A40) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (12)

Orbit spaces of Hilbert manifolds ⋮ New concepts of directional derivatives for set-valued maps and applications to set optimization ⋮ Almost subadditive multiparameter ergodic theorems ⋮ Moduli of smoothness of vector valued functions of a real variable and applications ⋮ Order cancellation law in the family of bounded convex sets ⋮ On set-valued solution of an \(n\)-order iterative functional equation ⋮ Inner products for Convex Bodies ⋮ Acknowledgement of priority ⋮ On minimal representations by a family of sublinear functions ⋮ Equivariant absolute extensor property on hyperspaces of convex sets ⋮ Support functions and subdifferentials ⋮ Acknowledgement of priority

Cites Work

• Spaces of measures
• On the existence of equilibria in economies with an infinite dimensional commodity space
• On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
• Vector valued subadditive processes and applications in probability
• E-methods for fixed point equations f(x)=x
• An equilibrium existence theorem
• Central limit theorems for C(S)-valued random variables
• Subadditive ergodic theory
• A strong law of large numbers for random compact sets
• Integrals, conditional expectations, and martingales of multivalued functions
• Remarks on the set-valued integrals of Debreu and Aumann
• Strong law of large numbers for Banach space valued random sets
• A note on the convergence of Banach-space valued martingales
• Integrals of set-valued functions
• Ein Fixpunktsatz
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• A lattice-theoretical fixpoint theorem and its applications
• Mathematical methods of game and economic theory
• An application of the central limit theorem for banach-space-valued random variables to the theory of random sets
• Ergodic theorems for subadditive superstationary families of convex compact random sets
• Applications of Radon-Nikodym Theorems to Martingale Convergence
• An Embedding Theorem for Spaces of Convex Sets
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Existence of an Equilibrium for a Competitive Economy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Embedding theorems for classes of convex sets