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Law of large numbers and ergodic theorem for convex weak star compact valued Gelfand-integrable mappings
- Source :
- Advances in mathematical economics, Advances in mathematical economics, 2013, 17, pp.1-37. ⟨10.1007/978-4-431-54324-4_1⟩
- Publication Year :
- 2013
- Publisher :
- HAL CCSD, 2013.
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Abstract
- International audience; We prove several results in the integration of convex weak star (resp.~norm compact) valued random sets with application to weak star Kuratowski convergence in the law of largenumbers for convex norm compact valued Gelfand-integrable mappings in the dual of a separable Banach space. We also establish several weak star Kuratowski convergence in the law of large numbers and ergodic theorem involving the subdifferential operators of Lipschitzean functions defined on a separable Banach space, and also provide an application to a closure type result arisen in evolution inclusions.
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Advances in mathematical economics, Advances in mathematical economics, 2013, 17, pp.1-37. ⟨10.1007/978-4-431-54324-4_1⟩
- Accession number :
- edsair.dedup.wf.001..b774899e9642568b710a835efcc9c926