Titlebook: Lebesgue Integral; Liviu C. Florescu Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Na

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Lebesgue Integral978-3-030-60163-8Series ISSN 2296-4568 Series E-ISSN 2296-455X

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Lebesgue Measure on ,,Let . be the set of real numbers.Throughout this book, the extended set of real numbers is . and the extended subset of real positive numbers is ..An . in . is a subset . with the property that, for all ., . ∈ . and for all . with ., it follows that . ∈ ..If ., then . is the . and . is the . of extremities . and .. Obviously . and ..

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The ,, Spaces,This chapter is devoted to a class of Banach spaces constructed using the notion of an integrable function—Lebesgue spaces or classical Banach spaces.

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Titlebook: Lebesgue Integral; Liviu C. Florescu Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Na

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