Commutant lifting, tensor algebras, and functional calculus

Proceedings of the Edinburgh Mathematical Society

Volumn 44, Issue 2, 2001, Pages 389-406

  Popescu, Gelu ^a  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

Author keywords

Commutant lifting; Functional calculus; Interpolation; Tensor algebras

Indexed keywords

EID: 23044533033     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0013091598001059     Document Type: Article

References (26)

1. J. AGLER AND J. E. MCCARTHY, Nevanlina-Pick kernels and localization, in Operator Theoretical Methods, Timisoara, 1998, pp. 1-20 (Theta Foundation, Bucharest, 2000).
2. A. ARIAS AND G. POPESCU, Factorization and reflexivity on Fock spaces, Integr. Eqns Oper. Theory 23 (1995), 268-286.
3. A. ARIAS AND G. POPESCU, Non-commutative interpolation and Poisson transforms, Israel J. Math. 115 (2000), 205-234.
4. W. B. ARVESON, Subalgebras of C"-algebras, HI, Multivariable operator theory, Ada Math. 181 (1998), 159-228.
5. J. CUNTZ, Simple C-algebras generated by isometries, Commun. Math. Phys. 57 (1977), 173-185.
6. K. R. DAVIDSON AND D, PITTS, Automorphisms and representations of the noncommutative analytic Toeplitz algebras, Math. Annln 311 (1998), 275-303.
7. K. R. DAVIDSON AND D. PITTS, Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras, Integr. Eqns Oper. Theory 31 (1998), 321-337.
8. K. R. DAVIDSON AND D. PITTS, Invariant subspaces and hyper-reflexivity for free semigroup algebras, Proc. Land. Math. Soc. 78 (1999), 401-430.
9. R. G. DOUGLAS, P. S. MUHLY AND C. PEARCY, Lifting commuting operators, Michigan Math. J. 15 (1968), 385-395.
10. P. MUHLY, B. SOLEL, Tensor algebras over -4'-correspondences: representations, dilations, and C"-envelopes, J. Funct. Analysis 158 (1998), 389-457.
11. R. NEVANLINNA, Über beschränkte Functionen, die in gegebenen Punkten vorgeschobene Werte annehmen, Ann. Acad. Sci. Fenn. A13 (1919), 7-23.
12. S. PARROTT, On a quotient norm and the Sz.-Nagy-Foias lifting theorem, J. Funct. Analysis 30 (1978), 311-328.
13. G. PICK, Über die Beschränkungen analytischer Functionen, welche durch vorgegebene Functionswerte bewirkt werden, Math. Annln 77 (1916), 7-23.
14. G. POPESCU, Isometric dilations for infinite sequences of noncommuting operators, Trans. Am. Math. Soc. 316 (1989), 523-536.
15. G. POPESCU, Characteristic functions for infinite sequences of noncommuting operators, J. Opérât. Theory 22 (1989), 51-71.
16. G. POPESCU, Von Neumann inequality for (B(H)n)i, Math. Scand. 68 (1991), 292-304.
17. G. POPESCU, On intertwining dilations for sequences of noncommuting operators, J. Math. Analysis Appl. 167 (1992), 382-402.
18. G. POPESCU, Functional calculus for noncommuting operators, Michigan Math. J. 42 (1995), 345-356.
19. G. POPESCU, Multi-analytic operators on Fock spaces, Math. Annln 303 (1995), 31-46.
20. G. POPESCU, Non-commutative disc algebras and their representations, Proc. Am. Math. Soc. 124 (1996), 2137-2148.
21. G. POPESCU, Interpolation problems in several variables , J. Math. Analysis Appl. 227 (1998), 227-250.
22. G. POPESCU, Poisson transforms on some C"-algebras generated by isometries, J. Funct. Analysis 161 (1999), 27-61.
23. D. SARASON, Generalized interpolation in H°°, Trans. Am. Math. Soc. 127 (1967), 179203.
24. B. Sz.-NAGY AND C. FoiA§, Dilation des commutants d'opérateurs, C. R. Acad. Sci. Paris Ser. l 266 (1968), 493-495.
25. B. Sz.-NAGY AND C. FoiASj, Harmonie analysis on operators on Hubert space (NorthHolland, Amsterdam, 1970).
26. J. VON NEUMANN, Eine Spectraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr. 4 (1951), 258-281.