Capacities and Choquet averages of ultrafilters
DOI10.1090/proc/16642arXiv2307.16823MaRDI QIDQ6154354
Paolo Leonetti, Simone Cerreia-Vioglio, Massimo Marinacci, Fabio Maccheroni
Publication date: 15 February 2024
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.16823
Stone-Čech compactificationideal convergenceArchimedean Riesz spacesubmeasuresChoquet averagesnormalized capacities
Contents, measures, outer measures, capacities (28A12) Integration with respect to measures and other set functions (28A25) Banach sequence spaces (46B45) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ordered topological linear spaces, vector lattices (46A40) Ideal and statistical convergence (40A35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on ideal boundedness, convergence and variation of sequences
- Multiplicative summability methods and the Stone-Čech compactification
- On matrix summability of spliced sequences and \(A\)-density of points
- Analytic ideals and their applications
- A letter concerning Leonetti's paper `Continuous projections onto ideal convergent sequences'
- A strong law of large numbers for capacities
- On statistical limit points and the consistency of statistical convergence
- Continuous projections onto ideal convergent sequences
- Densities for sets of natural numbers vanishing on a given family
- Archimedean quotient Riesz spaces
- Cores of exact games. I
- Ergodic Theorems for lower probabilities
- Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
- Choquet integration on Riesz spaces and dual comonotonicity
- R-Type Summability Methods, Cauchy Criteria, P-Sets and Statistical Convergence
- Integral Representation Without Additivity
- Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
- Abstract densities and ideals of sets
- Ideal convergence versus matrix summability
- On the notions of upper and lower density
- On the Multiplicative Behavior of Regular Matrices
- Regular Matrices with Nowhere Dense Support
- Maharam's problem
This page was built for publication: Capacities and Choquet averages of ultrafilters
