Non-Archimedean operator theory [electronic resource] / Toka Diagana, François Ramaroson.
2016
QA329
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Title
Non-Archimedean operator theory [electronic resource] / Toka Diagana, François Ramaroson.
Author
Diagana, Toka, author.
ISBN
9783319273235 (electronic book)
331927323X (electronic book)
9783319273228
331927323X (electronic book)
9783319273228
Published
Cham : Springer, 2016.
Language
English
Description
1 online resource (xiii, 156 pages).
Item Number
10.1007/978-3-319-27323-5 doi
Call Number
QA329
Dewey Decimal Classification
515/.724
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. .
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 12, 2016).
Added Author
Ramaroson, François, author.
Series
SpringerBriefs in mathematics.
Available in Other Form
Print version: 9783319273228
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