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Distance of convergence in measure on spaces of measurable functions

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In this paper we investigate the distance of convergence in measure whenever the measure is not $$\sigma $$σ-finite and identify the topological coreflection of this approach structure with a direct… Click to show full abstract

In this paper we investigate the distance of convergence in measure whenever the measure is not $$\sigma $$σ-finite and identify the topological coreflection of this approach structure with a direct proof. Also we investigate its connections with metric approach structures on spaces of measurable functions and obtain some results for integrability of measurable functions in this setting.

Keywords: measurable functions; distance convergence; convergence measure; measure; spaces measurable

Journal Title: Positivity
Year Published: 2018

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