Metric Modular Spaces
Language: English
Published by Springer International Publishing Dez 2015, 2015
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 37.87
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Seller Inventory # 9783319252810
- Title
- Metric Modular Spaces
- Author
- Vyacheslav Chistyakov
- Publisher
- Springer International Publishing Dez 2015
- Publication year
- 2015
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 331925281X
- ISBN 13
- 9783319252810
- Item weight
- 242 grams
- Dimensions
- 235x155x9 mm
- Series
- Book 65 of 155: SpringerBriefs in Mathematics
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.
"Synopsis" may belong to another edition of this title.
Review
“This book is a contribution to the general theory of modulars defined on arbitrary sets. ... The content of the book is well organized, and the exposition is as self-contained as possible. ... this is an interesting book on function spaces theory. It contains a wealth of materials concerning modular spaces and some of their applications. This work should be useful to undergraduate students and certainly to a more general audience of mathematicians and physicists.” (Mohammed Morsli, Mathematical Reviews, September, 2016)
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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