Convergence in measure for semigroup-valued integrals
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- by Isidore Fleischer PDF
- Proc. Amer. Math. Soc. 101 (1987), 299-305 Request permission
Abstract:
The semigroup-valued integral of M. Sion [S] is reformulated for a general notion of approximation by sums of values taken by a set function integrand. A convergence in measure theorem is established, which yields both his pointwise dominated convergence theorem as well as an integrability criterion which specializes to his existence theorem.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 299-305
- MSC: Primary 28B10; Secondary 46G10
- DOI: https://doi.org/10.1090/S0002-9939-1987-0902545-8
- MathSciNet review: 902545