In this paper we present some different types of ideal convergence/divergence and of ideal continuity for Riesz space-valued functions, and prove some basic properties and comparison results. We investigate the relations among different modes of ideal continuity and present a characterization of the $(AP)$-property for ideals of an abstract set. Finally we pose some open problems.
Modes of ideal continuity and the additive property in the Riesz space setting
BOCCUTO, Antonio;
2014
Abstract
In this paper we present some different types of ideal convergence/divergence and of ideal continuity for Riesz space-valued functions, and prove some basic properties and comparison results. We investigate the relations among different modes of ideal continuity and present a characterization of the $(AP)$-property for ideals of an abstract set. Finally we pose some open problems.File in questo prodotto:
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