A convergence theorem for the Birkhoff integral
From MaRDI portal
Publication:2450374
DOI10.7169/FACM/2014.50.1.5zbMath1292.28006OpenAlexW2612266218MaRDI QIDQ2450374
Kazimierz Musiał\, Marek Balcerzak
Publication date: 14 May 2014
Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.facm/1395924289
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convergence and divergence of series and sequences of functions (40A30) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)
Related Items (3)
On the integration of Riemann-measurable vector-valued functions ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ Nets and sequences of Riemann and Riemann-type integrable functions with values in a Banach space
Cites Work
- Vitali type convergence theorems for Banach space valued integrals
- Statistical convergence and ideal convergence for sequences of functions
- Statistical convergence in topology
- Weak statistical convergence and weak filter convergence for unbounded sequences
- On functions that are universally Pettis integrable
- Generalized statistical convergence and convergence free spaces
- The Birkhoff integral and the property of Bourgain
- Pointwise \(\mathcal I\)-convergence and \(\mathcal I\)-convergence in measure of sequences of functions
- Weak and point-wise convergence in \(C(K)\) for filter convergence
- On the existence of Pettis integrable functions which are not Birkhoff integrable
- Pointwise limits of Birkhoff integrable functions
- Convergence theorems for the Birkhoff integral
- Ideal convergence of bounded sequences
- Integration of Functions with Values in a Bananch Space
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A convergence theorem for the Birkhoff integral