Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum

Petru Cojuhari; Jan Janas

Bulletin of the Polish Academy of Sciences. Mathematics (2008)

  • Volume: 56, Issue: 1, page 39-51
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Petru Cojuhari, and Jan Janas. "Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum." Bulletin of the Polish Academy of Sciences. Mathematics 56.1 (2008): 39-51. <http://eudml.org/doc/281252>.

@article{PetruCojuhari2008,
abstract = {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.},
author = {Petru Cojuhari, Jan Janas},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {spectral theory; trace class perturbation operators; Jacobi matrices},
language = {eng},
number = {1},
pages = {39-51},
title = {Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum},
url = {http://eudml.org/doc/281252},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Petru Cojuhari
AU - Jan Janas
TI - Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 1
SP - 39
EP - 51
AB - 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.
LA - eng
KW - spectral theory; trace class perturbation operators; Jacobi matrices
UR - http://eudml.org/doc/281252
ER -

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