The Resource Metric modular spaces : theory and applications, Vyacheslav Chistyakov

Metric modular spaces : theory and applications, Vyacheslav Chistyakov

Label
Metric modular spaces : theory and applications
Title
Metric modular spaces
Title remainder
theory and applications
Statement of responsibility
Vyacheslav Chistyakov
Creator
Author
Subject
Genre
Language
eng
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Chistyakov, Vyacheslav
Dewey number
514/.325
Illustrations
illustrations
Index
index present
LC call number
QA611.28
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
Metric spaces
Label
Metric modular spaces : theory and applications, Vyacheslav Chistyakov
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-25283-4
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xiii, 137 pages)
File format
unknown
Form of item
online
Isbn
9783319252834
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-25283-4
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)932289203
  • (OCoLC)ocn932289203
Label
Metric modular spaces : theory and applications, Vyacheslav Chistyakov
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-25283-4
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xiii, 137 pages)
File format
unknown
Form of item
online
Isbn
9783319252834
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-25283-4
Other physical details
color illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)932289203
  • (OCoLC)ocn932289203

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