A generalized Pettis measurability criterion and integration of vector functions

• Autorzy: I. Dobrakov , T. V. Panchapagesan
• Języki publikacji: EN

Abstrakty

EN

For Banach-space-valued functions, the concepts of 𝒫-measurability, λ-measurability and m-measurability are defined, where 𝒫 is a δ-ring of subsets of a nonvoid set T, λ is a σ-subadditive submeasure on σ(𝒫) and m is an operator-valued measure on 𝒫. Various characterizations are given for 𝒫-measurable (resp. λ-measurable, m-measurable) vector functions on T. Using them and other auxiliary results proved here, the basic theorems of [6] are rigorously established.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 28B05: Vector-valued set functions, measures and integrals
• 46G10: Vector-valued measures and integration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 164
• Numer: 3
• Strony: 205-229

Daty

wydano

2004

Twórcy

autor

I. Dobrakov

• Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia

autor

T. V. Panchapagesan

• Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, Mérida 5101, Venezuela

Identyfikatory

DOI

10.4064/sm164-3-1