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Titlebook: Metrics, Norms, Inner Products, and Operator Theory; Christopher Heil Textbook 2018 Springer International Publishing AG, part of Springer

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發(fā)表于 2025-3-21 16:22:08 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Metrics, Norms, Inner Products, and Operator Theory
編輯Christopher Heil
視頻videohttp://file.papertrans.cn/633/632483/632483.mp4
概述Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter.Suitable for undergraduate-level courses; no famil
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Metrics, Norms, Inner Products, and Operator Theory;  Christopher Heil Textbook 2018 Springer International Publishing AG, part of Springer
描述.This text is a self-contained introduction to the three main families that we encounter in analysis –?.metric spaces, normed spaces., and?.inner product spaces?.– and to the operators that transform objects in one into objects in another. ?With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.”.Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of??.p.?topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle.? The text is constructed in such a way that instructors have the option whether to include more advanced topics..Written in an appealing and accessible style,?.Metrics, Norms, Inner Products, and Operator Theory.?is suitable for independent study or as the basis for an undergraduate-level course.? Instructors have several options for building a course around the text depending on the level and interests of their students..Key features:.Aime
出版日期Textbook 2018
關(guān)鍵詞Metric spaces; Banach spaces; Hilbert spaces; Functional anlaysis; Operator theory
版次1
doihttps://doi.org/10.1007/978-3-319-65322-8
isbn_softcover978-3-030-09737-0
isbn_ebook978-3-319-65322-8Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:59:53 | 只看該作者
板凳
發(fā)表于 2025-3-22 01:41:50 | 只看該作者
Notation and Preliminaries,e. Unlike the rest of the text, in this preliminary chapter we may state results without proof or without the motivation and discussion that is provided throughout the later chapters. Proofs of the facts reviewed in Sections?1.1–1.9 can be found in most calculus texts (such as [HHW18]), or in underg
地板
發(fā)表于 2025-3-22 06:48:13 | 只看該作者
Further Results on Banach Spaces,ce, but a normed space is a vector space, so we can form linear combinations of vectors. Moreover, because we also have a notion of . we can go even further and define . of vectors (which are . of the series).
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發(fā)表于 2025-3-22 10:39:48 | 只看該作者
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發(fā)表于 2025-3-22 13:37:38 | 只看該作者
Christopher Heilcher Polynesiens verwandten das Wort aber bereits in einem spezielleren Sinn. Es bezeichnete n?mlich besondere Meidungsvorschtiften, Berührungs- oder Speiseverbote, deren übertretung oft gravierende magische Konsequenzen nach sich zogen. So galten etwa Neugeborene, Leichen oder H?uptlinge bei den Po
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發(fā)表于 2025-3-22 18:47:34 | 只看該作者
Christopher Heilten Menschen in den Garten Eden, damit er ihn bebaue und pflege. ?Von allen B?umen im Garten darfst du nach Belieben essen. Nur von dem Baume, der Gutes und B?ses kennen lehrt, darfst du nicht essen. Denn sobald du von ihm issest, bist du des Todes.“. An sp?terer Stelle hei?t es: ?Davon dürft ihr ni
8#
發(fā)表于 2025-3-23 01:15:53 | 只看該作者
Christopher Heilistischen Strategien, die zur überwindung der Regelungslücke vorgeschlagen werden, stutzig macht, ist ihre Bereitschaft, die Diktate des ?enormen Fortschritts der Technik“. unbefragt hinzunehmen. So deutet . das Verh?ltnis von Recht und Technik in den kantischen Kategorien von Sein und Sollen., wobe
9#
發(fā)表于 2025-3-23 01:49:13 | 只看該作者
Christopher Heilistischen Strategien, die zur überwindung der Regelungslücke vorgeschlagen werden, stutzig macht, ist ihre Bereitschaft, die Diktate des ?enormen Fortschritts der Technik“. unbefragt hinzunehmen. So deutet . das Verh?ltnis von Recht und Technik in den kantischen Kategorien von Sein und Sollen., wobe
10#
發(fā)表于 2025-3-23 09:01:17 | 只看該作者
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