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Non-Archimedean Operator Theory
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Catalogue Information
Field name
Details
Dewey Class
515.724
Title
Non-Archimedean Operator Theory ([EBook]) / by Toka Diagana, François Ramaroson.
Author
Diagana, Toka
Added Personal Name
Ramaroson, François
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details
XIII, 156 p. : online resource.
Series
SpringerBriefs in Mathematics
2191-8198
ISBN
9783319273235
Summary Note
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. .:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-27323-5
Links to Related Works
Subject References:
Algebra
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Field Theory and Polynomials
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Field theory (Physics)
.
Functional Analysis
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Functions of real variables
.
Mathematics
.
Operator Theory
.
Real Functions
.
Authors:
Diagana, Toka
.
Ramaroson, François
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Corporate Authors:
SpringerLink (Online service)
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Series:
SpringerBriefs in Mathematics
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Classification:
515.724
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