Representations of Linear Operators Between Banach Spaces

The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recur...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Edmunds, David E. (Συγγραφέας), Evans, W. Desmond (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Σειρά:Operator Theory: Advances and Applications, 238
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02668nam a22004695i 4500
001 978-3-0348-0642-8
003 DE-He213
005 20151204174540.0
007 cr nn 008mamaa
008 130903s2013 sz | s |||| 0|eng d
020 |a 9783034806428  |9 978-3-0348-0642-8 
024 7 |a 10.1007/978-3-0348-0642-8  |2 doi 
040 |d GrThAP 
050 4 |a QA329-329.9 
072 7 |a PBKF  |2 bicssc 
072 7 |a MAT037000  |2 bisacsh 
082 0 4 |a 515.724  |2 23 
100 1 |a Edmunds, David E.  |e author. 
245 1 0 |a Representations of Linear Operators Between Banach Spaces  |h [electronic resource] /  |c by David E. Edmunds, W. Desmond Evans. 
264 1 |a Basel :  |b Springer Basel :  |b Imprint: Birkhäuser,  |c 2013. 
300 |a XI, 152 p. 1 illus. in color.  |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 Operator Theory: Advances and Applications,  |x 0255-0156 ;  |v 238 
505 0 |a 1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators. 
520 |a The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps. 
650 0 |a Mathematics. 
650 0 |a Operator theory. 
650 0 |a Partial differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Operator Theory. 
650 2 4 |a Partial Differential Equations. 
700 1 |a Evans, W. Desmond.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783034806411 
830 0 |a Operator Theory: Advances and Applications,  |x 0255-0156 ;  |v 238 
856 4 0 |u http://dx.doi.org/10.1007/978-3-0348-0642-8  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)