Standard models under polynomial positivity conditions

Journal of Operator Theory

Volumn 41, Issue 2, 1996, Pages 365-389

  Pott, Sandra ^a,b  

^a SAARLAND UNIVERSITY   (Germany)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Dilations; Functional calculus; Multivariable spectral theory; Standard models; Weighted multishifts

Indexed keywords

EID: 0001456658     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. A. ATHAVALE, On the intertwining of joint isometries, J. Operator Theory 23(1990), 339-350.
2. A. CUMENGE, Extension dans des classes de Hardy de fonctions holomorphes et estimations de type "mesures de Carleson" pour l'equation ∂̄, Ann. Inst. Fourier (Grenoble) 33(1983), 59-97.
3. S.W. DRURY, A generalization of von Neumann's inequality to complex ball, Proc. Amer. Math. Soc. 68(1978), 300-304.
4. p-Estimates for (pluri-)subharmonic functions, Math. Scand. 20 (1967), 65-78.
5. S.G. KRANTZ, Function Theory of Several Complex Variables, Pure and Applied Mathematics Series, John Wiley and Sons Inc., New York 1982.
6. V. MÜLLER, F.-H. VASILESCU, Standard models for some commuting multioperators, Proc. Amer. Math. Soc. 117(1993), 979-989.
7. V. PAULSEN, Completely Bounded Maps and Dilations, Pitman Res. Notes Math. Ser., vol. 146, Longman, London 1986.
8. S. POTT, Invariant subspaces for tuples with normal dilations, in Banach Algebra, Walter DeGruyter, Berlin 1998, pp. 397-413.
9. M.R. RANGE, Holomorphic Functions and Integral Representations in Several Complex Variables, Grad. Texts in Math., vol. 108, Springer-Verlag, New York 1986.
10. n, Grundlehren Math. Wiss., vol. 241, Springer Verlag, New York 1980.
11. J. SCHULT, Modelle kommutierender Operatoren, Diplomarbeit, University of Saarbrücken 1994.
12. B. Sz.-NAGY, C. FOIAŞ, Harmonic Analysis on Hilbert Spaces, North Holland Publishing Company, Amsterdam 1970.
13. F.-H. VASILESCU, Analytic Functional Calculus and Spectral Decompositions, D. Reidel Publishing Company, Dordrecht 1982.
14. F.-H. VASILESCU, An operator-valued Poisson kernel, J. Funct. Anal. 110(1992), 47-72.
15. R. WOLFF, Spectral theory on Hardy spaces in several complex variables, Ph.D. Dissertation, Westfälische Wilhelms-Universität Münster 1996.