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008 810423s1981 gw b 001 0 eng
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100 1 $aCoddington, Earl A.,$d1920-1991.
245 10 $aRegular boundary value problems associated with pairs of ordinary differential expressions /$c[by] Earl A. Coddington [and] Hendrik S.V. de Snoo.
260 $aBerlin ;$aNew York :$bSpringer-Verlag,$c1981.
300 $a225 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics ;$v858
504 $aIncludes bibliographical references (pages 220-223) and index.
505 0 $aIntroduction -- Selfadjoint extensions of M₀ -- Forms generated by selfadjoint extensions of M₀ -- Hilbert spaces generated by positive selfadjoint extensions of M₀ -- Minimal and maximal subspaces for the pair L, M -- Intermediate subspaces -- Spectra and eigenvalues -- Resolvents -- Eigenfunction expansion for selfadjoint subspaces -- Semibounded intermediate subspaces -- Some special cases.
520 $aIt is well known that two hermitian n x n matrices K, H, where H is positive definite, H > 0, can be simultaneously diagonalized. The key to the proof is to consider C[superscript]n, where C is the complex number field, as a Hilbert space [Fraktur capital]H [subscript]H with the inner product given by (f,g) = g*Hf, where f,g [lowercase Greek]Epsilon C[superscript]n, considered as a space of column vectors. Then the operator A = H⁻¹K is selfadjoint in [Fraktur capital]H [subscript]H, and the spectral theorem readily yields the result. Of course such A, when K is not hermitian, can also be investigated in [Fraktur capital]H [subscript]H. We consider a similar problem where K, H are replaced by a pair of ordinary differential expressions L and M, where M > 0 in some sense. Two difficulties arise: (1) there are many natural choices for a selfadjoint H > 0 generated by M, and hence many choices for [Fraktur capital]H [subscript]H, and (2), once a choice for H has been made, there are many choices for the analogue of A. In our work we consider all possible choices for H > 0 and the analogue of A.
650 0 $aBoundary value problems.
650 0 $aDifferential operators.
650 0 $aEigenfunction expansions.
650 1 $aDifferential operators.
650 2 $aEigenfunction expansions.
650 6 $aProblèmes aux limites.
650 6 $aOpérateurs différentiels.
650 6 $aFonctions caractéristiques$xExtensions.
650 7 $aBoundary value problems.$2fast$0(OCoLC)fst00837122
650 7 $aDifferential operators.$2fast$0(OCoLC)fst00893496
650 7 $aEigenfunction expansions.$2fast$0(OCoLC)fst00904025
650 7 $aGewöhnlicher Differentialoperator$2gnd
650 7 $aRandwertproblem$2gnd
650 17 $aRandwaardeproblemen.$2gtt
655 4 $aDifferentialoperatorenpaar.
700 1 $aSnoo, Hendrik Simon Victor de,$d1945-$eauthor.
776 08 $iOnline version:$aCoddington, Earl A., 1920-1991.$tRegular boundary value problems associated with pairs of ordinary differential expressions.$dBerlin ; New York : Springer-Verlag, 1981$w(OCoLC)622953123
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v858.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht001052713.pdf
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001490107&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2237972&custom_att_2=simple_viewer
856 4 $3Cover$uhttp://swbplus.bsz-bw.de/bsz011412232cov.htm$v20110329095506
856 4 $3Inhaltsverzeichnis$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2237972&custom%5Fatt%5F2=simple%5Fviewer$yRegular boundary value problems associated with pairs of ordinary differential expressions
856 $31850-9999$uhttp://www.springer.com/gb/$xBLDSS
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