Modes of ideal continuity and the additive property in the Riesz space setting

• Autorzy: Boccuto, A. , Dimitriou, X. , Papanastassiou, N. , Wilczyński, W.
• Języki publikacji: EN

Abstrakty

EN

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 Λ. Finally we pose some open problems.

Słowa kluczowe

PL

ideał dopuszczalny; właściwość addytywna; zbieżność idealna; rozbieżność idealna; ciągłość idealna; tryby ciągłości

EN

admissible ideal; additive property; ideal convergence; ideal divergence; ideal continuity; modes of continuity

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 1
• Strony: 41--53
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Boccuto, A.

• Department of Mathematics and Computer Sciences, University of Perugia, via Vanvitelli 1, I-06123 Perugia, Italy,

autor

Dimitriou, X.

• Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Athens, Greece,

autor

Papanastassiou, N.

• Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Athens, Greece,

autor

Wilczyński, W.

• Faculty of Mathematics and Computer Sciences, University of Łódź, Banacha 22, PL-90238 Łódź, Poland,

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Identyfikatory

DOI

10.1515/jaa-2014-0005