准则 发表于 2025-3-25 03:59:01

Piermarco Cannarsa,Teresa D‘AprileHighlights interaction between integration theory and functional analysis, with constant focus on applications.Includes a large number of examples and exercises, often proposed with hints for the read

Temporal-Lobe 发表于 2025-3-25 09:43:21

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不足的东西 发表于 2025-3-25 14:33:12

Product Measurestor. Then, the natural problem that arises is how to reduce a double (or multiple) integral to the computation of two (or more) simple integrals. Such a question plays a crucial role in Lebesgue integration.

ALIBI 发表于 2025-3-25 17:18:01

Set-Valued Functionse known results for single-valued maps can be adapted. In this chapter, we provide a quick introduction to set-valued analysis aiming to deduce a classical theorem which guarantees the existence of a measurable selection.

catagen 发表于 2025-3-25 23:15:47

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Parameter 发表于 2025-3-26 04:12:27

Banach SpacesIn the previous chapter, we have seen how to associate a norm . with a scalar product . on a pre-Hilbert space ..

大洪水 发表于 2025-3-26 05:50:34

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uveitis 发表于 2025-3-26 09:03:01

Signed MeasuresGiven a measure space . and a function ., the so-called .. defines a .-additive set function, that is, if ., with . a family of disjoint sets, then . Therefore, when ., . is a finite measure on . satisfying .

贸易 发表于 2025-3-26 14:14:02

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Instinctive 发表于 2025-3-26 17:28:56

Introduction to Measure Theory and Functional Analysis978-3-319-17019-0Series ISSN 2038-5714 Series E-ISSN 2532-3318
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查看完整版本: Titlebook: Introduction to Measure Theory and Functional Analysis; Piermarco Cannarsa,Teresa D‘Aprile Textbook 2015 Springer International Publishing