Limit points of eigenvalues of truncated unbounded tridiagonal operators
E.K. Ifantis; C.G. Kokologiannaki; E. Petropoulou
Open Mathematics (2007)
- Volume: 5, Issue: 2, page 335-344
- ISSN: 2391-5455
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topE.K. Ifantis, C.G. Kokologiannaki, and E. Petropoulou. "Limit points of eigenvalues of truncated unbounded tridiagonal operators." Open Mathematics 5.2 (2007): 335-344. <http://eudml.org/doc/269763>.
@article{E2007,
abstract = {Let T be a self-adjoint tridiagonal operator in a Hilbert space H with the orthonormal basis \{e n\}n=1∞, σ(T) be the spectrum of T and Λ(T) be the set of all the limit points of eigenvalues of the truncated operator T N. We give sufficient conditions such that the spectrum of T is discrete and σ(T) = Λ(T) and we connect this problem with an old problem in analysis.},
author = {E.K. Ifantis, C.G. Kokologiannaki, E. Petropoulou},
journal = {Open Mathematics},
keywords = {Tridiagonal operators; spectrum; limit points of eigenvalues; orthogonal polynomials; continued fractions; tridiagonal operators},
language = {eng},
number = {2},
pages = {335-344},
title = {Limit points of eigenvalues of truncated unbounded tridiagonal operators},
url = {http://eudml.org/doc/269763},
volume = {5},
year = {2007},
}
TY - JOUR
AU - E.K. Ifantis
AU - C.G. Kokologiannaki
AU - E. Petropoulou
TI - Limit points of eigenvalues of truncated unbounded tridiagonal operators
JO - Open Mathematics
PY - 2007
VL - 5
IS - 2
SP - 335
EP - 344
AB - Let T be a self-adjoint tridiagonal operator in a Hilbert space H with the orthonormal basis {e n}n=1∞, σ(T) be the spectrum of T and Λ(T) be the set of all the limit points of eigenvalues of the truncated operator T N. We give sufficient conditions such that the spectrum of T is discrete and σ(T) = Λ(T) and we connect this problem with an old problem in analysis.
LA - eng
KW - Tridiagonal operators; spectrum; limit points of eigenvalues; orthogonal polynomials; continued fractions; tridiagonal operators
UR - http://eudml.org/doc/269763
ER -
References
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