Geodesic
On the spectra of infinite Hessenberg and Jacobi matrices
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 284-298 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The probability measures on the unit circle are studied in conjunction with multiplication operators acting in appropriate Hilbert spaces. The measure with constant reflection coefficients and the corresponding operator are treated as unperturbed objects. Under certain perturbations of this measure it is shown that the support of perturbed measure contains the support of the original one. More generally, we evaluate the size of gaps inside the support of the perturbed measure. The similar results pertaining to Jacobi and banded matrices are also under consideration. 
@article{JMAG_2000_7_3_a2,
     author = {Leonid Golinskii},
     title = {On the spectra of infinite {Hessenberg} and {Jacobi} matrices},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {284--298},
     year = {2000},
     volume = {7},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a2/}
}
TY  - JOUR
AU  - Leonid Golinskii
TI  - On the spectra of infinite Hessenberg and Jacobi matrices
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2000
SP  - 284
EP  - 298
VL  - 7
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a2/
LA  - en
ID  - JMAG_2000_7_3_a2
ER  - 
%0 Journal Article
%A Leonid Golinskii
%T On the spectra of infinite Hessenberg and Jacobi matrices
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2000
%P 284-298
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a2/
%G en
%F JMAG_2000_7_3_a2
Leonid Golinskii. On the spectra of infinite Hessenberg and Jacobi matrices. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 284-298. http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a2/