Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
Petru Cojuhari ; Jan Janas
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008), p. 39-51 / Harvested from The Polish Digital Mathematics Library

Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:281252
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     author = {Petru Cojuhari and Jan Janas},
     title = {Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {56},
     year = {2008},
     pages = {39-51},
     zbl = {1156.47033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-5}
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Petru Cojuhari; Jan Janas. Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 39-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-1-5/