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Hankel Operators Associated with Analytic Crossed Products

Published online by Cambridge University Press:  20 November 2018

Yoshiki Imina
Affiliation:
Department of Mathematics Faculty of Science Niigata University Niigata, 950-21 Japan
Kichi-Suke Saito
Affiliation:
Department of Mathematics Faculty of Science Niigata University Niigata, 950-21 Japan
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Abstract

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We introduce the notion of Hankel operators associated with analytic crossed products and consider the Nehari problem in this setting.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Haagerup, U., The standard form of von Neumann algebras, Math. Scand. 37(1975), 271283.Google Scholar
2. Haagerup, U., Lp -spaces associatedwith an arbitrary von Neumann algebras, Colloques internationaux du CNRS 274(1979),175184.Google Scholar
3. McAsey, M., Mulhy, P. S. and Saito, K.-S., Nonselfadjoint crossed products ﹛Invariant subspaces and maximality), Trans. Amer. Math. Soc. 248(1979), 381409.Google Scholar
4. McAsey, M., Mulhy, P. S. and Saito, K.-S., Nonselfadjoint crossed products 111 (Infinite algebras), J. Operator Theory 12(1984), 322.Google Scholar
5. Parrott, S., On a quotient norm and the Sz.-Nagy-Foias lifting theorem, J. Funct. Anal. 30(1978), 311328.Google Scholar
6. Power, S. C., Hankel operators on Hilbert spaces, Bull London Math. Soc. 12(1980), 422442.Google Scholar
7. Power, S. C., Hankel operators on Hilbert spaces, Research Notes in Math. 64(1982).Google Scholar
8. Rosenblum, M. and Rovnyak, J., Hardy spaces and operator theory, Oxford Math. Monographs, Oxford University Press, 1985.Google Scholar
9. Saito, K.-S., Toeplitz operators associated with analytic crossed products, Math. Proc. Camb. Philo. Soc. 108(1990), 539549.Google Scholar
10. Saito, K.-S., Toeplitz operators associated with analytic crossed products II (Invariant subspaces and factorization), Integral Equations and Operator Theory 14(1991), 251275.Google Scholar
11. Terp, M., LP-spaces associatedwith von Neumann algebras, Rapport, 1981.Google Scholar
12. Young, N., An introduction to Hilbert space, Cambridge Math., Textbooks, 1988.Google Scholar