On Hankel operators not in the Toeplitz algebra
HTML articles powered by AMS MathViewer
- by José Barría PDF
- Proc. Amer. Math. Soc. 124 (1996), 1507-1511 Request permission
Abstract:
In this paper we exhibit a class of Hankel operators, which is contained in the essential commutant of the unilateral shift, but disjoint from the Toeplitz algebra.References
- José Barría and P. R. Halmos, Asymptotic Toeplitz operators, Trans. Amer. Math. Soc. 273 (1982), no. 2, 621–630. MR 667164, DOI 10.1090/S0002-9947-1982-0667164-X
- Xiao Man Chen and Feng Chen, Hankel operators in the set of essential Toeplitz operators, Acta Math. Sinica (N.S.) 6 (1990), no. 4, 354–363. A Chinese summary appears in Acta Math. Sinica 34 (1991), no. 5, 720. MR 1078681, DOI 10.1007/BF02107969
- Ronald G. Douglas, Banach algebra techniques in operator theory, Pure and Applied Mathematics, Vol. 49, Academic Press, New York-London, 1972. MR 0361893
- Carroll Guillory and Donald Sarason, The algebra of quasicontinuous functions, Proc. Roy. Irish Acad. Sect. A 84 (1984), no. 1, 57–67. MR 771646
- Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
- Donald Sarason, Toeplitz operators with piecewise quasicontinuous symbols, Indiana Univ. Math. J. 26 (1977), no. 5, 817–838. MR 463968, DOI 10.1512/iumj.1977.26.26066
- Donald Sarason, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Department of Mathematics, Blacksburg, Va., 1978. Notes for lectures given at a Conference at Virginia Polytechnic Institute and State University, Blacksburg, Va., June 19–23, 1978. MR 521811
Additional Information
- José Barría
- Affiliation: Department of Mathematics, Santa Clara University, Santa Clara, California 95053
- Email: jbarria@scuacc.scu.edu
- Received by editor(s): September 7, 1994
- Received by editor(s) in revised form: October 21, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1507-1511
- MSC (1991): Primary 47B38, 47B35
- DOI: https://doi.org/10.1090/S0002-9939-96-03118-8
- MathSciNet review: 1301007