000 02699nam a22004817a 4500
001 sulb-eb0023156
003 BD-SySUS
005 20160413122337.0
007 cr nn 008mamaa
008 130903s2013 sz | s |||| 0|eng d
020 _a9783034806428
_9978-3-0348-0642-8
024 7 _a10.1007/978-3-0348-0642-8
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aEdmunds, David E.
_eauthor.
245 1 0 _aRepresentations of Linear Operators Between Banach Spaces
_h[electronic resource] /
_cby David E. Edmunds, W. Desmond Evans.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2013.
300 _aXI, 152 p. 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aOperator Theory: Advances and Applications,
_x0255-0156 ;
_v238
505 0 _a1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators.
520 _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.
650 0 _aMathematics.
650 0 _aOperator theory.
650 0 _aPartial differential equations.
650 1 4 _aMathematics.
650 2 4 _aOperator Theory.
650 2 4 _aPartial Differential Equations.
700 1 _aEvans, W. Desmond.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034806411
830 0 _aOperator Theory: Advances and Applications,
_x0255-0156 ;
_v238
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0642-8
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c45248
_d45248