Metric Modular Spaces is popular PDF and ePub book, written by Vyacheslav Chistyakov in 2015-12-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Metric Modular Spaces can be Read Online from any device for your convenience.
Metric Modular Spaces Book PDF Summary
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.
Detail Book of Metric Modular Spaces PDF
- Author : Vyacheslav Chistyakov
- Release : 14 December 2015
- Publisher : Springer
- ISBN : 9783319252834
- Genre : Mathematics
- Total Page : 137 pages
- Language : English
- PDF File Size : 21,6 Mb
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