The Resource Non-Archimedean operator theory, Toka Diagana, François Ramaroson

Non-Archimedean operator theory, Toka Diagana, François Ramaroson

Label
Non-Archimedean operator theory
Title
Non-Archimedean operator theory
Statement of responsibility
Toka Diagana, François Ramaroson
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Diagana, Toka
Dewey number
515/.724
Index
index present
LC call number
QA329
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Ramaroson, François
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
  • Operator theory
  • MATHEMATICS
  • MATHEMATICS
  • Operator theory
  • Functional analysis & transforms
  • Algebra
  • Real analysis, real variables
Label
Non-Archimedean operator theory, Toka Diagana, François Ramaroson
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-27323-5
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
Preface; Acknowledgments; Contents; 1 Non-Archimedean Valued Fields; 1.1 Valuation; 1.1.1 Definitions and First Properties; 1.1.2 The Topology Induced by a Valuation on K; 1.1.3 Non-Archimedean Valuations; 1.1.4 Some Analysis on a Complete Non-Archimedean Valued Field; 1.1.5 The Order Function for a Discrete Valuation; 1.2 Examples; 1.2.1 Examples of Archimedean Valuation; 1.2.2 Examples of Non-Archimedean Valued Fields; 1.3 Additional Properties of Non-ArchimedeanValued Fields; 1.4 Some Remarks on Krull Valuations; 1.5 Bibliographical Notes; 2 Non-Archimedean Banach Spaces
Dimensions
unknown
Extent
1 online resource (xiii, 156 pages).
File format
unknown
Form of item
online
Isbn
9783319273228
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-27323-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)946357949
  • (OCoLC)ocn946357949
Label
Non-Archimedean operator theory, Toka Diagana, François Ramaroson
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-27323-5
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
Preface; Acknowledgments; Contents; 1 Non-Archimedean Valued Fields; 1.1 Valuation; 1.1.1 Definitions and First Properties; 1.1.2 The Topology Induced by a Valuation on K; 1.1.3 Non-Archimedean Valuations; 1.1.4 Some Analysis on a Complete Non-Archimedean Valued Field; 1.1.5 The Order Function for a Discrete Valuation; 1.2 Examples; 1.2.1 Examples of Archimedean Valuation; 1.2.2 Examples of Non-Archimedean Valued Fields; 1.3 Additional Properties of Non-ArchimedeanValued Fields; 1.4 Some Remarks on Krull Valuations; 1.5 Bibliographical Notes; 2 Non-Archimedean Banach Spaces
Dimensions
unknown
Extent
1 online resource (xiii, 156 pages).
File format
unknown
Form of item
online
Isbn
9783319273228
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-27323-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)946357949
  • (OCoLC)ocn946357949

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