國立虎尾科技大學 |

Non-Archimedean Operator Theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Non-Archimedean Operator Theory/ by Toka Diagana, François Ramaroson.
Author:	Diagana, Toka.
other author:	Ramaroson, François.
Description:	XIII, 156 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-319-27323-5
ISBN:	9783319273235

Non-Archimedean Operator Theory
Diagana, Toka.

Non-Archimedean Operator Theory[electronic resource] /by Toka Diagana, François Ramaroson. - 1st ed. 2016. - XIII, 156 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

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. .

ISBN: 9783319273235

Standard No.: 10.1007/978-3-319-27323-5doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Non-Archimedean Operator Theory
LDR:02427nam a22003855i 4500 001 981975
003 DE-He213
005 20200704073820.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319273235 $9 978-3-319-27323-5
024 7 $a 10.1007/978-3-319-27323-5 $2 doi
035 $a 978-3-319-27323-5
050 4 $a QA329-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.724 $2 23
100 1 $a Diagana, Toka. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 785964
245 1 0 $a Non-Archimedean Operator Theory $h [electronic resource] / $c by Toka Diagana, François Ramaroson.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XIII, 156 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematics, $x 2191-8198
520 $a 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. .
650 0 $a Operator theory. $3 527910
650 0 $a Functional analysis. $3 527706
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Field theory (Physics). $3 685987
650 0 $a Functions of real variables. $3 792248
650 1 4 $a Operator Theory. $3 672127
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Field Theory and Polynomials. $3 672025
650 2 4 $a Real Functions. $3 672094
700 1 $a Ramaroson, François. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1274228
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319273228
776 0 8 $i Printed edition: $z 9783319273242
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-319-27323-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)