|
On Hankel operators not in the Toeplitz algebra
Author(s):
José
Barría
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1507-1511.
MSC (1991):
Primary 47B38, 47B35
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
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:
- 1.
- J. Barría and P. R. Halmos, Asympototic Toeplitz operators, Trans. Amer. Math. Soc. 273 (1982), 621--630. MR 84j:47040
- 2.
- X. Chen and F. Chen, Hankel operators in the set of essential Toeplitz operators Acta Math. Sinica 6 (1990), 354--363. MR 91k:47056
- 3.
- R. G. Douglas, Banach algebra techniques in operator theory, Academic Press, New York, 1972. MR 50:14335
- 4.
- C. Guillory and D. Sarason, The algebra of quasicontinuous functions, Proc. Roy. Irish Acad. 84 (1984), 57--67. MR 86j:46055
- 5.
- K. Hoffman Banach spaces of analytic functions, Prentice-Hall, Englewood Cliffs, NJ, 1962. MR 24:A2844
- 6.
- D. Sarason, Toeplitz operators with piecewise quasicontinuous symbols, Indiana Univ. Math. J. 26 (1977) 817--838. MR 57:3906
- 7.
- ------, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1978. MR 80d:30035
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
47B38, 47B35
Retrieve articles in all Journals with MSC
(1991):
47B38, 47B35
Additional Information:
José
Barría
Affiliation:
Department of Mathematics, Santa Clara University, Santa Clara, California 95053
Email:
jbarria@scuacc.scu.edu
DOI:
10.1090/S0002-9939-96-03118-8
PII:
S 0002-9939(96)03118-8
Received by editor(s):
September 7, 1994
Received by editor(s) in revised form:
October 21, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org