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Ideal convergence and divergence of nets in $(ℓ)$ -groups

Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou (2012)

Czechoslovak Mathematical Journal

In this paper we introduce the $ℐ$ - and $ℐ^{*}$ -convergence and divergence of nets in $(ℓ)$ -groups. We prove some theorems relating different types of convergence/divergence for nets in $(ℓ)$ -group setting, in relation with ideals. We consider both order and $(D)$ -convergence. By using basic properties of order sequences, some fundamental properties, Cauchy-type characterizations and comparison results are derived. We prove that $ℐ^{*}$ -convergence/divergence implies $ℐ$ -convergence/divergence for every ideal, admissible for...

Implicit Markov kernels in probability theory

Daniel Hlubinka (2002)

Commentationes Mathematicae Universitatis Carolinae

Having Polish spaces $𝕏$ , $𝕐$ and $ℤ$ we shall discuss the existence of an $𝕏 \times 𝕐$ -valued random vector $(ξ, η)$ such that its conditional distributions $K_{x} = ℒ (η ∣ ξ = x)$ satisfy $e (x, K_{x}) = c (x)$ or $e (x, K_{x}) \in C (x)$ for some maps $e : 𝕏 \times ℳ_{1} (𝕐) \to ℤ$ , $c : 𝕏 \to ℤ$ or multifunction $C : 𝕏 \to 2^{ℤ}$ respectively. The problem is equivalent to the existence of universally measurable Markov kernel $K : 𝕏 \to ℳ_{1} (𝕐)$ defined implicitly by $e (x, K_{x}) = c (x)$ or $e (x, K_{x}) \in C (x)$ respectively. In the paper we shall provide sufficient conditions for the existence of the desired Markov kernel. We shall discuss some special solutions of the $(e, c)$ - or $(e, C)$ -problem and illustrate...

Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.

Intégration dans certains espaces de Riesz à distance concave

H. Heinich (1974)

Annales de l'I.H.P. Probabilités et statistiques

Intégration dans les espaces $p$ -normes

Bernard Maurey (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Currently displaying 1 – 20 of 26

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Displaying 1 – 20 of 26

Ideal convergence and divergence of nets in $(ℓ)$ -groups

Implicit Markov kernels in probability theory

Individual ergodic theorem in a regular space

Inequalities for product operators and vector valued ergodic theorems

Integrability for the Dobrakov integral

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. II.

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. III.

Integración de funciones con valores en un espacio localmente convexo respecto de medidas infinitas. I.

Integral extension procedures in weakly σ-complete lattice-ordered groups, II

Integral extension procedures in weakly σ-complete lattice-ordered groups, I

Integral of multivalued mappings and its connection with differential relations

Integral representation of Gaussian measures.

Integral with respect to fuzzy mesure in finite dimensional Banach spaces.

Integralbegriffe für vektorwertige Funktionen und nukleare Räume.

Integralerweiterung durch Integralnormen mit Werten in prägeordneten Halbgruppen.

Integrals of operator-valued functions.

Integrating bounded functions for the Dobrakov integral

Integration and decompositions of weak $^{*}$ -integrable multifunctions

Intégration dans certains espaces de Riesz à distance concave

Intégration dans les espaces $p$ -normes

Currently displaying 1 – 20 of 26