ON THE DOUBLE COMMUTATION METHOD

Authors
GESZTESY F TESCHL G
Citation
F. Gesztesy et G. Teschl, ON THE DOUBLE COMMUTATION METHOD, Proceedings of the American Mathematical Society, 124(6), 1996, pp. 1831-1840
Citations number
39
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
6
Year of publication
1996
Pages
1831 - 1840
Database
ISI
SICI code
0002-9939(1996)124:6<1831:OTDCM>2.0.ZU;2-J
Abstract
We provide a complete spectral characterization of the double commutat ion method for general Sturm-Liouville operators which inserts any fin ite number of prescribed eigenvalues into spectral gaps of a given bac kground operator. Moreover, we explicitly determine the transformation operator which links the background operator to its doubly commuted v ersion (resulting in extensions and considerably simplified proofs of spectral results even for the special case of Schrodinger-type operato rs).