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A generalized Pettis measurability criterion and integration of vector functions

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Dobrakov I., Panchapagesan T.

Studia Mathematica

2004

tom 164

nr 3

205-229

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.

Ograniczanie wyników

1 Studia Mathematica

1 Dobrakov I.

1 Panchapagesan T.

1 2004

Wyniki wyszukiwania

A generalized Pettis measurability criterion and integration of vector functions