Norm continuity of weakly quasi-continuous mappings

• Autorzy: Alireza Kamel Mirmostafaee
• Języki publikacji: EN

Abstrakty

EN

Let 𝒬 be the class of Banach spaces X for which every weakly quasi-continuous mapping f: A → X defined on an α-favorable space A is norm continuous at the points of a dense $G_δ$ subset of A. We will show that this class is stable under c₀-sums and $ℓ^{p}$-sums of Banach spaces for 1 ≤ p < ∞.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 54C35: Function spaces
• 46B20: Geometry and structure of normed linear spaces
• 46B45: Banach sequence spaces
• 54C08: Weak and generalized continuity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 1
• Strony: 83-91

Daty

wydano

2011

Twórcy

autor

Alireza Kamel Mirmostafaee

• Center of Excellence in Analysis on Algebraic Structures, Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. 1159 Mashhad, Iran

Identyfikatory

DOI

10.4064/cm122-1-8