Commuting row contractions with polynomial characteristic functions

A characteristic function is a special operator-valued analytic function defined on the open unit ball of C n associated with an n-tuple of commuting row contraction on some Hilbert space. In this paper, we continue our study of the representations of n-tuples of commuting row contractions on Hilber...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Bhattacharjee Monojit
Haria Kalpesh J.
Sarkar Jaydeb
Dokumentumtípus: Cikk
Megjelent: 2021
Sorozat:Acta scientiarum mathematicarum 87 No. 3-4
Kulcsszavak:Analízis - matematikai, Függvény
Tárgyszavak:
doi:10.14232/actasm-020-303-x

Online Access:http://acta.bibl.u-szeged.hu/75849
Leíró adatok
Tartalmi kivonat:A characteristic function is a special operator-valued analytic function defined on the open unit ball of C n associated with an n-tuple of commuting row contraction on some Hilbert space. In this paper, we continue our study of the representations of n-tuples of commuting row contractions on Hilbert spaces, which have polynomial characteristic functions. Gleason’s problem plays an important role in the representations of row contractions. We further complement the representations of our row contractions by proving theorems concerning factorizations of characteristic functions. We also emphasize the importance and the role of noncommutative operator theory and noncommutative varieties to the classification problem of polynomial characteristic functions.
Terjedelem/Fizikai jellemzők:429-461
ISSN:2064-8316