书目名称 | Metrics, Norms, Inner Products, and Operator Theory | 编辑 | Christopher Heil | 视频video | | 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 | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 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 ℓ.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 | 关键词 | Metric spaces; Banach spaces; Hilbert spaces; Functional anlaysis; Operator theory | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-65322-8 | isbn_softcover | 978-3-030-09737-0 | isbn_ebook | 978-3-319-65322-8Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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书目名称Metrics, Norms, Inner Products, and Operator Theory被引频次 
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