Bochner integrals in ordered vector spaces

ACM Van Rooij, WB van Zuijlen - Positivity, 2017 - Springer
We present a natural way to cover an Archimedean directed ordered vector space E by
Banach spaces and extend the notion of Bochner integrability to functions with values in E …

Order integrals

M De Jeu, X Jiang - Positivity, 2022 - Springer
We define an integral of real-valued functions with respect to a measure that takes its values
in the extended positive cone of a partially ordered vector space E. The monotone …

Order integrals

J Xingni - Positivity, 2022 - search.proquest.com
We define an integral of real-valued functions with respect to a measure that takes its values
in the extended positive cone of a partially ordered vector space E. The monotone …

101 Years of Vector Lattice Theory: A Vector Lattice-Valued Daniell Integral

JJ Grobler - Positivity and its Applications: Positivity X, 8-12 July …, 2021 - Springer
We show that the paper in which PJ Daniell introduced his well-known integral, used
modern Riesz space techniques to derive the properties of the integral and to prove a …

[PDF][PDF] Gibbs-non-Gibbs transitions and vector-valued integration

WB Zuijlen - Journal of Mathematics, 1962 - scholarlypublications …
Gibbs-non-Gibbs transitions and ector- alued integration Page 1 Gibbs-non-Gibbs transitions
and ector- alued integration Zui len, WB an Citation Zui len, WB an. (2016, September 7) …

[引用][C] Kriteria Cauchy Integral Riemann di Ruang Riesz

MA Ilham, J Nugroho, M Tantrawan - Limits: Journal of Mathematics and Its …, 2024