Study on the Equivalence between the Convergence of Function Sequences in Lebesgue Measure and the Convergence in Metric
In the paper,a class of new complete metric spaces are constructed,where the conver-gence of point sequences in metric is equivalent to the convergence of function sequences in Lebes-gue measure.This enriches the teaching content on metric space in functional analysis theory.
metricmetric spaceconvergence in metricconvergence in Lebesgue measure
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