Geodesic
Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
Petru Cojuhari1 ; Jan Janas2
1 Department of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Krak/ow, Poland
2 Institute of Mathematics Polish Academy of Sciences /Sw. Tomasza 30 31-027 Krak/ow, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 1, pp. 39-51.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba56-1-5
Keywords: sufficient conditions absence absolutely continuous spectrum unbounded jacobi operators given class unbounded jacobi operators purely singular continuous spectrum constructed

Petru Cojuhari 1 ; Jan Janas 2

1 Department of Applied Mathematics AGH University of Science and Technology Al. Mickiewicza 30 30-059 Krak/ow, Poland
2 Institute of Mathematics Polish Academy of Sciences /Sw. Tomasza 30 31-027 Krak/ow, Poland 
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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) no. 1, pp. 39-51. doi : 10.4064/ba56-1-5. http://geodesic.mathdoc.fr/articles/10.4064/ba56-1-5/

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