Geodesic
Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
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
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 1, pp. 39-51 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {Unbounded {Jacobi} {Matrices} with {Empty} {Absolutely
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     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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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

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