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Catalogue Information
Field name	Details
Dewey Class	515.94
Title	Metric Modular Spaces ([EBook]) / by Vyacheslav Chistyakov.
Author	Chistyakov, Vyacheslav
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2015.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	XIII, 137 p. 2 illus. in color. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9783319252834
Summary Note	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. .:
Contents note	1.Classes of Modulars -- 2. Metrics on Modular Spaces -- 3. Modular Transforms -- 4. Topologies on Modular Spaces -- 5. Bounded and Regulated Mappings -- 6. Mappings of Bounded Generalized Variation -- Appendix -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-25283-4
Links to Related Works	Subject References: Differential Equations . Functional Analysis . Functions of complex variables . Mathematics . Ordinary differential equations . Several Complex Variables and Analytic Spaces . Special Functions . Authors: Chistyakov, Vyacheslav . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.94 .

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Metric Modular Spaces

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