Abstract Integration with Respect to Measures and Applications to Modular Convergence in Vector Lattice Setting
نویسندگان
چکیده
Abstract A “Bochner-type” integral for vector lattice-valued functions with respect to (possibly infinite) measures is presented abstract convergences, satisfying suitable axioms, and some fundamental properties are studied. Moreover, by means of this integral, convergence results on operators in modulars proved. Some applications given moment kernels the Brownian motion.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2022
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-022-01776-4