On Birkhoff integrability for scalar functions and vector measures

DOI10.1007/s00605-008-0020-zzbMath1181.28014OpenAlexW2083123129MaRDI QIDQ1027750

Francisco Naranjo, José Rodríguez, Fernando Mayoral, Antonio Fernández

Publication date: 30 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0020-z

zbMATH Keywords

vector measuresBirkhoff integralBartle-Dunford-Schwartz integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (3)

A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ Comparison between Birkhoff integral and Gould integral

Cites Work

• Unnamed Item
• Unnamed Item
• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• The Fatou property in \(p\)-convex Banach lattices
• The Birkhoff integral and the property of Bourgain
• Spaces of \(p\)-integrable functions with respect to a vector measure
• Integration with respect to vector measures
• On integrability and summability in vector spaces
• On the Accuracy of Normal Approximation of the Probability of Hitting a Ball of Sums of Weakly Dependent Hilbert Space Valued Random Variables I
• On the existence of Pettis integrable functions which are not Birkhoff integrable
• Weak Compactness and Vector Measures
• Spaces of vector functions that are integrable with respect to vector measures
• The Bourgain property and convex hulls
• On integration of vector functions with respect to vector measures
• On integration in Banach spaces, VII
• A generalized Pettis measurability criterion and integration of vector functions
• Integration of Functions with Values in a Bananch Space

This page was built for publication: On Birkhoff integrability for scalar functions and vector measures