Copies of $ℓ_{∞}$ in the space of Pettis integrable functions with integrals of finite variation

• Autorzy: Juan Carlos Ferrando
• Języki publikacji: EN

Abstrakty

EN

Let (Ω,Σ,μ) be a complete finite measure space and X a Banach space. We show that the space of all weakly μ-measurable (classes of scalarly equivalent) X-valued Pettis integrable functions with integrals of finite variation, equipped with the variation norm, contains a copy of $ℓ_{∞}$ if and only if X does.

Kategorie tematyczne

• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 28B05: Vector-valued set functions, measures and integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 210
• Numer: 1
• Strony: 93-98

Daty

wydano

2012

Twórcy

autor

Juan Carlos Ferrando

• Centro de Investigación Operativa, Universidad Miguel Hernández, Edificio Torretamarit, Avda de la Universidad s/n, E-03202 Elche (Alicante), Spain

Identyfikatory

DOI

10.4064/sm210-1-6