|
A note on multiplier algebras on reproducing kernel Hilbert spaces
Author(s):
Tavan
T.
Trent
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2835-2838.
MSC (2000):
Primary 46E22, 47B32
Posted:
March 28, 2008
MathSciNet review:
2399048
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We construct a simple reproducing kernel space whose multiplier algebra does not satisfy a ``corona theorem''.
References:
-
- 1.
- L. Carleson, Interpolation by bounded analytic functions and the corona problem, Annals of Math. 76 (1962), 547-559. MR 0141789 (25:5186)
- 2.
- T. W. Gamelin, Uniform Algebras and Jensen Measures, London Mathematical Society Lecture Note Series 32, Cambridge University Press, Cambridge, 1978. MR 521440 (81a:46058)
- 3.
- N. Sibony, Un exemple de domain pseudoconvexe régulier où l'équation
 n'admet pas de solution bornée pour  bornée, Invent. Math. 62 (1980/81), 235-242. MR 595587 (82c:32020)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
46E22, 47B32
Retrieve articles in all Journals with
MSC (2000):
46E22, 47B32
Additional Information:
Tavan
T.
Trent
Affiliation:
Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350
Email:
ttrent@as.ua.edu
DOI:
10.1090/S0002-9939-08-09383-0
PII:
S 0002-9939(08)09383-0
Keywords:
Corona,
reproducing kernel
Received by editor(s):
February 8, 2007
Posted:
March 28, 2008
Additional Notes:
The author was partially supported by NSF Grant DMS-0400307
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
