| 书目名称 | Function Spaces and Operators between them | | 编辑 | José Bonet,David Jornet,Pablo Sevilla-Peris | | 视频video | | | 概述 | Good selection of topics, well structured presentation and aspects that appear in a book for the first time.Presents, in a unified self contained way, many examples of function spaces and operators be | | 丛书名称 | RSME Springer Series | | 图书封面 |  | | 描述 | The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, integration, composition, multiplication and partial differential operators between those spaces are studied. A brief introduction to Laurent Schwartz’s theory of distributions and to Lars Hörmander’s approach to linear partial differential operators is presented..The novelty of our approach lies mainly on two facts. First of all, we show all these topics together in an accessible way, stressing the connection between them. Second, we keep it always at a level that is accessible to beginners and young researchers. Moreover, parts of the book might be of interest for researchers in functional analysis and operator theory. Our aim is not to build and describe a whole, complete theory, but to serve as an introduction to some aspects that we believe are interesting. We wish to guide any reader that | | 出版日期 | Book 2023 | | 关键词 | Operator Theory; Spaces of Holomorphic Functions; Fréchet Spaces; Composition Operators; Hypercyclic Ope | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-41602-6 | | isbn_softcover | 978-3-031-41604-0 | | isbn_ebook | 978-3-031-41602-6Series ISSN 2509-8888 Series E-ISSN 2509-8896 | | issn_series | 2509-8888 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:17:23
