Abstract
The spaces Lp as normed linear spaces. Linear functionals and Riesz Representation Theorem for Lp spaces, 1 ≤ p < ∞. Modes of convergence of measurable functions, pointwise a.e., pointwise, uniform, mean, almost uniform and convergence in measure. Their relations.
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Shirali, S., Vasudeva, H.L. (2019). Lebesgue Spaces and Modes of Convergence. In: Measure and Integration. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-030-18747-7_6
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DOI: https://doi.org/10.1007/978-3-030-18747-7_6
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