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Standard models for some commuting multioperators


Authors: V. Müller and F.-H. Vasilescu
Journal: Proc. Amer. Math. Soc. 117 (1993), 979-989
MSC: Primary 47A45
DOI: https://doi.org/10.1090/S0002-9939-1993-1112498-0
MathSciNet review: 1112498
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Abstract: An analogue to the Sz.-Nagy-Foiaş dilation theory is presented for several commuting operators on a Hilbert space.


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  • [1] J. Agler, Hypercontractions and subnormality, J. Operator Theory 13 (1985), 203-217. MR 775993 (86i:47028)
  • [2] J. Arazy, S. D. Fisher, S. Janson, and J. Peetre, Membership of Hankel operators on the ball in unitary ideals, preprint, Upsala, 1989. MR 1113389 (93c:47030)
  • [3] A. Athavale, Holomorphic kernels and commuting operators, Trans. Amer. Math. Soc. 304 (1987), 101-110. MR 906808 (88m:47039)
  • [4] -, On the intertwining of joint isometries, J. Operator Theory 23 (1990), 339-350. MR 1066811 (91i:47029)
  • [5] -, Model theory on the unit ball in $ {{\mathbf{C}}^n}$, J. Operator Theory (to appear).
  • [6] M. Cho and W. Żelazko, On geometric spectral radius of commuting $ n$-tuples of operators, Hokkaido Math. J. (to appear)
  • [7] S. W. Drury, A generalization of von Neumann's inequality to complex ball, Proc. Amer. Math. Soc. 68 (1978), 300-304. MR 480362 (80c:47010)
  • [8] V. Müller, Models for operators using weighted shifts, J. Operator Theory 20 (1988), 3-20. MR 972177 (90a:47027)
  • [9] B. Sz.-Nagy and C. Foiaş, Analyse harmonique des opérateurs de l' espace de Hilbert, Masson, Paris, and Akad. Kiadó, Budapest, 1967. MR 0225183 (37:778)
  • [10] F.-H. Vasilescu, An operator-valued Poisson kernel, preprint. MR 1190419 (94d:47033)

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DOI: https://doi.org/10.1090/S0002-9939-1993-1112498-0
Article copyright: © Copyright 1993 American Mathematical Society

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