Abstract
In this paper, given a nonadditive measure μ, a topology, which is compatible with convergence in μ-measure, is defined on the real linear space of all (equivalence classes of) measurable functions by using the distance introduced by Dunford and Schwartz. Some fundamental properties of the topology, such as the open sphere condition, the Hausdorff separation axiom, separability, approximation by continuous functions, linearlization, and metrizability, are related to the characteristics of a nonadditive measure.
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.
