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001 9910739431803321
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010   $a9783034806428
010   $a3034806426
024 7 $a10.1007/978-3-0348-0642-8
035   $a(CKB)3710000000019080
035   $a(EBL)1474339
035   $a(SSID)ssj0001010523
035   $a(PQKBManifestationID)11623341
035   $a(PQKBTitleCode)TC0001010523
035   $a(PQKBWorkID)10999793
035   $a(PQKB)10816748
035   $a(DE-He213)978-3-0348-0642-8
035   $a(MiAaPQ)EBC1474339
035   $a(PPN)17242190X
035   $a(MiFhGG)9783034806428
035   $a(EXLCZ)993710000000019080
100   $a20130903d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aRepresentations of linear operators between Banach spaces /$fby David E. Edmunds, W. Desmond Evans
205   $a1st ed. 2013.
210  1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (164 p.)
225 1 $aOperator Theory: Advances and Applications,$x0255-0156 ;$v238
300   $aDescription based upon print version of record.
311 08$a9783034806411 
311 08$a3034806418 
320   $aIncludes bibliographical references and index.
327   $a1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators.
330   $aThe book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps.
410  0$aOperator Theory: Advances and Applications,$x0255-0156 ;$v238
606   $aOperator theory
606   $aDifferential equations, Partial
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aOperator theory.
615  0$aDifferential equations, Partial.
615 14$aOperator Theory.
615 24$aPartial Differential Equations.
676   $a004
676   $a515.7/246
676   $a515.7246
700   $aEdmunds$b D. E$g(David Eric),$4aut$4http://id.loc.gov/vocabulary/relators/aut$00
702   $aEvans$b W. Desmond$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910739431803321
996   $aRepresentations of linear operators between Banach spaces$93572836
997   $aUNINA