TY  - JOUR
JF  - Acta scientiarum mathematicarum
Y1  - 2021///
AV  - restricted
CY  - Szeged
A1  -  Bhattacharjee Monojit
A1  -  Haria Kalpesh J.
A1  -  Sarkar Jaydeb
UR  - http://acta.bibl.u-szeged.hu/75849/
IS  - 3-4
TI  - Commuting row contractions with polynomial characteristic functions
VL  - 87
EP  - 461
ID  - acta75849
SN  - 2064-8316
SP  - 429
KW  - Analízis - matematikai
KW  -  Függvény
N2  - 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.
N1  - Bibliogr.: p. 460-461. ; összefoglalás angol nyelven
ER  -