TY  - JOUR
ID  - Motyka2015
LB  - Motyka2015
AU  - Motyka, Wojciech
TI  - Spectra of some selfadjoint Jacobi operators in the double root case
ST  - Spectra of some selfadjoint Jacobi operators in the double root case
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 3
SP  - 353
EP  - 370
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.3.353
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.3.353
AB  - In this paper we prove a mixed spectrum of Jacobi operators defined by \(\lambda_n=s(n)(1+x(n))\) and \(q_n=-2s(n)(1+y(n))\), where \((s(n))\) is a real unbounded sequence, \((x(n))\) and \((y(n))\) are some perturbations.
KW  - Jacobi matrices
KW  - double root case
KW  - asymptotic behavior
KW  - subordination theory
KW  - absolutely continuous spectrum
KW  - discrete spectrum
SN  - 1232-9274
ER  -