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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
- Svante Janson and Jaak Peetre, A new generalization of Hankel operators (the case of higher weights), Math. Nachr. 132 (1987), 313–328. MR 910059, DOI https://doi.org/10.1002/mana.19871320121
- Svante Janson, Jaak Peetre, and Richard Rochberg, Hankel forms and the Fock space, Rev. Mat. Iberoamericana 3 (1987), no. 1, 61–138. MR 1008445, DOI https://doi.org/10.4171/RMI/46
- Jaak Peetre and Richard Rochberg, Higher order Hankel forms, Multivariable operator theory (Seattle, WA, 1993) Contemp. Math., vol. 185, Amer. Math. Soc., Providence, RI, 1995, pp. 283–306. MR 1332066, DOI https://doi.org/10.1090/conm/185/02160
- S. C. Power, Finite rank multivariable Hankel forms, Linear Algebra Appl. 48 (1982), 237–244. MR 683221, DOI https://doi.org/10.1016/0024-3795%2882%2990110-0 ---, Hankel operators on Hilbert space, Pitman, New York, 1982.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B35
Retrieve articles in all journals with MSC: 47B35
Additional Information
Article copyright:
© Copyright 1995
American Mathematical Society
