Strongly Lipschitz (ℓp ,ℓq)-factorable mappings

[EN] In this paper we study the space of strongly Lipschitz (ℓp, ℓq) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓp and ℓq spaces is given. We show that this type of operators fits in the theory of composition α-Banach Lipschi...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Achour, Dahmane, Tiaiba, Toufik
Format:	Artikel
Sprache:	eng
Schlagworte:	(p,q)-operators (ℓp, ℓq)-factorable operators quasi (ℓp, ℓq)-factorable operators strongly Lipschitz (ℓp, ℓq)-factorable operators ℓp-factorable operators
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	[EN] In this paper we study the space of strongly Lipschitz (ℓp, ℓq) -factorable operators between metric spaces and a Banach spaces. In particular, a factorization of this class through ℓp and ℓq spaces is given. We show that this type of operators fits in the theory of composition α-Banach Lipschitz operator ideal. As a special case, we get a Lipschitz version of weakly p-nuclear operators. Thanks the support of the General Direction of Scientific Research and Technological Development (DGRSDT), Algeria. Achour, D.; Tiaiba, T. (2024). Strongly Lipschitz (ℓp ,ℓq)-factorable mappings. Applied General Topology. 25(1):237-251. https://doi.org/10.4995/agt.2024.18928