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Metric Modular Spaces

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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.

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Detail Information

Series Title

SpringerBriefs in Mathematics

Call Number

-

Publisher

Cham, Switzerland : ., 2015

Collation

XIII, 137

Language

English

ISBN/ISSN

978-3-319-25281-0

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Differential Equations,
Functional Analysis,
Several Complex Variables and Analytic Spaces,
Special Functions

Specific Detail Info

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Statement of Responsibility

Vyacheslav Chistyakov

Other Information

Cataloger

SARA

Source

-

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