Abstract
Let \((X,\mathcal {M},\mu )\) be a measure space. Consider L 1(μ) the space of integrable functions and let
For all f, g, and h in L 1(μ) it is easy to check that d(f, g) ≥ 0, d(f, g) = d(g, f), and
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References
W. Rudin, Real and Complex Analysis, 3rd edn. (McGraw Hill, New York, 1987)
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Schinazi, R.B. (2018). Modes of Convergence. In: From Classical to Modern Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94583-5_15
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DOI: https://doi.org/10.1007/978-3-319-94583-5_15
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