Discreteness of the spectrum for some unbounded Jacobi matrices

General criteria of discreteness of the spectrum for operators associated to positive and unbounded Jacobi matrices are established. These criteria unify well-known previous results on compactness of the resolvent of the above matrices.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Cojuhari Petru A.
Janas Jan
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2007
Sorozat:Acta scientiarum mathematicarum 73 No. 3-4
Kulcsszavak:Matematika, Jacobi-mátrix
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/16208
Leíró adatok
Tartalmi kivonat:General criteria of discreteness of the spectrum for operators associated to positive and unbounded Jacobi matrices are established. These criteria unify well-known previous results on compactness of the resolvent of the above matrices.
Terjedelem/Fizikai jellemzők:649-667
ISSN:0001-6969