| 书目名称 | Metric Modular Spaces | | 编辑 | Vyacheslav Chistyakov | | 视频video | | | 概述 | Presents an easy and unified way to generate different metrics.Contains new existence results in nonlinear functional analysis.Includes important applications to set-valued analysis?.Includes suppleme | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides. . | | 出版日期 | Book 2015 | | 关键词 | convex modular; metric semigroup; modular Lipschitzian maps; modular convergence; modular topology; ordin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-25283-4 | | isbn_softcover | 978-3-319-25281-0 | | isbn_ebook | 978-3-319-25283-4Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 16:52:17
