A generalized Pettis measurability criterion and integration of vector functions

I. Dobrakov, and T. V. Panchapagesan. "A generalized Pettis measurability criterion and integration of vector functions." Studia Mathematica 164.3 (2004): 205-229. <http://eudml.org/doc/284944>.

@article{I2004,
abstract = {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.},
author = {I. Dobrakov, T. V. Panchapagesan},
journal = {Studia Mathematica},
keywords = {integration with respect to operator-valued measures; Pettis measurability theorem; Egorov type theorem},
language = {eng},
number = {3},
pages = {205-229},
title = {A generalized Pettis measurability criterion and integration of vector functions},
url = {http://eudml.org/doc/284944},
volume = {164},
year = {2004},
}

TY - JOUR
AU - I. Dobrakov
AU - T. V. Panchapagesan
TI - A generalized Pettis measurability criterion and integration of vector functions
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 3
SP - 205
EP - 229
AB - 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.
LA - eng
KW - integration with respect to operator-valued measures; Pettis measurability theorem; Egorov type theorem
UR - http://eudml.org/doc/284944
ER -