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A Kronecker theorem for higher order Hankel forms


Author: Richard Rochberg
Journal: Proc. Amer. Math. Soc. 123 (1995), 3113-3118
MSC: Primary 47B35
DOI: https://doi.org/10.1090/S0002-9939-1995-1277130-6
MathSciNet review: 1277130
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Abstract: A classical theorem of Kronecker describes those Hankel forms that are of finite rank. Here an analogous characterization is given for the higher order (higher rank) Hankel forms introduced by Janson and Peetre. The methods apply to spaces of holomorphic functions in which the polynomials are dense.


References [Enhancements On Off] (What's this?)

  • [JP] S. Janson and J. Peetre, A new generalization of Hankel operators (the case of higher weight), Math. Nachr. 132 (1987), 318-328. MR 910059 (88m:47045)
  • [JPR] S. Janson, J. Peetre, and R. Rochberg, Hankel forms and the Fock space, Rev. Mat. Iberoamericana 3 (1987), 61-138. MR 1008445 (91a:47029)
  • [PR] J. Peetre and R. Rochberg, Higher order Hankel forms, Proc. Conf. Operator Theory (Seattle, 1993) (to appear). MR 1332066 (96g:47020)
  • [Po1] S. C. Power, Finite rank multivariable Hankel forms, Linear Algebra Appl. 48 (1984), 237-244. MR 683221 (84f:47032)
  • [Po2] -, Hankel operators on Hilbert space, Pitman, New York, 1982.

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DOI: https://doi.org/10.1090/S0002-9939-1995-1277130-6
Article copyright: © Copyright 1995 American Mathematical Society

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