Restricted left invertible Toeplitz operators on multiply connected domains
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- by Keiji Izuchi and Shûichi Ohno
- Proc. Amer. Math. Soc. 100 (1987), 127-132
- DOI: https://doi.org/10.1090/S0002-9939-1987-0883414-9
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Abstract:
A characterization of restricted left invertible Toeplitz operators on multiply connected domains is given. To prove this, some extension theorems are given.References
- M. B. Abrahamse, Toeplitz operators in multiply connected regions, Amer. J. Math. 96 (1974), 261–297. MR 361891, DOI 10.2307/2373633 S. Axler, Subalgebras of ${L^\infty }$, Thesis, University of California, Berkeley, 1975.
- Kevin F. Clancey and John A. Gosselin, On the local theory of Toeplitz operators, Illinois J. Math. 22 (1978), no. 3, 449–458. MR 482346
- Stephen D. Fisher, Function theory on planar domains, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1983. A second course in complex analysis; A Wiley-Interscience Publication. MR 694693
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387
- 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
- Rahman M. Younis, Extension results in the Hardy space associated with a logmodular algebra, J. Functional Analysis 39 (1980), no. 1, 16–22. MR 593785, DOI 10.1016/0022-1236(80)90016-6
- Rahman Younis, Interpolation in strongly logmodular algebras, Pacific J. Math. 102 (1982), no. 1, 247–251. MR 682055
Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 127-132
- MSC: Primary 47B35; Secondary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-1987-0883414-9
- MathSciNet review: 883414