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Titlebook: Research Topics in Analysis, Volume I; Grounding Theory Shouchuan Hu,Nikolaos S. Papageorgiou Textbook 2022 The Editor(s) (if applicable) a

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书目名称Research Topics in Analysis, Volume I
副标题Grounding Theory
编辑Shouchuan Hu,Nikolaos S. Papageorgiou
视频video
概述Presents a set of the most relevant tools of modern analysis.Covers the foundations of modern analysis in a compact and didactic way.Gives young researchers all the techniques they need to explore thi
丛书名称Birkhäuser Advanced Texts‘ Basler Lehrbücher
图书封面Titlebook: Research Topics in Analysis, Volume I; Grounding Theory Shouchuan Hu,Nikolaos S. Papageorgiou Textbook 2022 The Editor(s) (if applicable) a
描述This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed..Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. .Eachchapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the
出版日期Textbook 2022
关键词functional analysis; convex analysis; measure theory; Banach space theory; function spaces; Lebesgue spac
版次1
doihttps://doi.org/10.1007/978-3-031-17837-5
isbn_softcover978-3-031-17839-9
isbn_ebook978-3-031-17837-5Series ISSN 1019-6242 Series E-ISSN 2296-4894
issn_series 1019-6242
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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1019-6242 th a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the 978-3-031-17839-9978-3-031-17837-5Series ISSN 1019-6242 Series E-ISSN 2296-4894
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Banach Space Theory,nvex, nonmetrizable (in infinite dimensions) topologies, which are strictly weaker than the norm (metric) topology and exhibit many interesting features. In Sect. 3.6 we focus on the special classes of separable and reflexive normed spaces. Most of the spaces we encounter in applications are separab
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Textbook 2022hree chapters with topics of variational analysis. .Eachchapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the
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r Verteilungsgerechtigkeit, insofern Aequitas auf den Anteil des Zugemessenen zu achten, Moneta dagegen die Aufmerksamkeit auf den Ausschluß des Betrugs beim Verteilungsakt nahezulegen hat - im Sinne der etymologischen Deutung, die Thomas von Aquin dem Wort ,Moneta‘ gegeben hat: „Moneta heißt (das G
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Shouchuan Hu,Nikolaos Papageorgiour Verteilungsgerechtigkeit, insofern Aequitas auf den Anteil des Zugemessenen zu achten, Moneta dagegen die Aufmerksamkeit auf den Ausschluß des Betrugs beim Verteilungsakt nahezulegen hat - im Sinne der etymologischen Deutung, die Thomas von Aquin dem Wort ,Moneta‘ gegeben hat: „Moneta heißt (das G
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