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...

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Egile Nagusiak: Edmunds, David Eric, 1931-, Evans, W. Desmond, 1940- (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Basel : Springer Basel [20..].
Cham : Springer Nature
Edizioa:1st ed. 2013.
Saila:Operator Theory: Advances and Applications 238
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Oharra: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Representations of Linear Operators Between Banach Spaces, by David E. Edmunds, W. Desmond Evans., Basel, Springer, 2013, 1 vol. (152 p.), Operator Theory Advances and Applications, 978-3-0348-0641-1
• Representations of Linear Operators Between Banach Spaces, Texte imprimé, 9783034806435
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245 1 0 |a Representations of linear operators between Banach spaces   |c by David E. Edmunds, W. Desmond Evans. 
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505 1 |a 1 Preliminaries 2 Representation of compact linear operators 3 Representation of bounded linear operators 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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 |a Théorie des opérateurs 
650 |a Équations aux dérivées partielles 
700 1 |a Evans, W. Desmond,  |d 1940-  |4 aut 
776 0 |0 172493013  |t Representations of Linear Operators Between Banach Spaces  |f by David E. Edmunds, W. Desmond Evans.  |c Basel  |n Springer  |d 2013  |p 1 vol. (152 p.)  |s Operator Theory Advances and Applications  |z 978-3-0348-0641-1 
776 0 |t Representations of Linear Operators Between Banach Spaces  |b Texte imprimé  |z 9783034806435 
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