Metric Modular Spaces

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Metric Modular Spaces by Vyacheslav Chistyakov, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Vyacheslav Chistyakov ISBN: 9783319252834
Publisher: Springer International Publishing Publication: December 14, 2015
Imprint: Springer Language: English
Author: Vyacheslav Chistyakov
ISBN: 9783319252834
Publisher: Springer International Publishing
Publication: December 14, 2015
Imprint: Springer
Language: English

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. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. 

More books from Springer International Publishing

Cover of the book Understanding Oil and Gas Shows and Seals in the Search for Hydrocarbons by Vyacheslav Chistyakov
Cover of the book Urban Planning Education by Vyacheslav Chistyakov
Cover of the book Kenya and Britain after Independence by Vyacheslav Chistyakov
Cover of the book Atlas of Pediatric Brain Tumors by Vyacheslav Chistyakov
Cover of the book Pareto-Nash-Stackelberg Game and Control Theory by Vyacheslav Chistyakov
Cover of the book Brainlesion: Glioma, Multiple Sclerosis, Stroke and Traumatic Brain Injuries by Vyacheslav Chistyakov
Cover of the book Cloud Computing and Security by Vyacheslav Chistyakov
Cover of the book Exploring the Martian Moons by Vyacheslav Chistyakov
Cover of the book Urban Regeneration by Vyacheslav Chistyakov
Cover of the book Databases and Information Systems by Vyacheslav Chistyakov
Cover of the book Cognitive Enhancement by Vyacheslav Chistyakov
Cover of the book Blockchain – ICBC 2018 by Vyacheslav Chistyakov
Cover of the book The Science of Human Evolution by Vyacheslav Chistyakov
Cover of the book Cosmology for the Curious by Vyacheslav Chistyakov
Cover of the book Designing Instruction For Open Sharing by Vyacheslav Chistyakov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy