Abstract
A new general relative sequential compactness criterion for scalarly integrable functions is presented. The novel feature of this result is the fact that it deals with a strong form of pointwise Cesaro-convergence (almost everywhere), which is stronger than the usual types of weak convergence. Applications of the main result include extensions of a classical weak compactness criterion for abstract L 1-spaces and a recent relative sequential compactness criterion of Prohorov type for transition probabilites. The main result can also be seen as an abstract version of a famous theorem of Komlós, which is also essential for its proof.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
