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On a conjecture of Tomas Sauer regarding nested ideal interpolation
Author(s):
Boris
Shekhtman
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1723-1728.
MSC (2000):
Primary 41A63;
Secondary 41A10, 41A80, 13P10
Posted:
December 11, 2008
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Abstract:
Tomas Sauer conjectured that if an ideal complements polynomials of degree less than  , then it is contained in a larger ideal that complements polynomials of degree less than  . We construct a counterexample to this conjecture for polynomials in three variables and with  .
References:
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Additional Information:
Boris
Shekhtman
Affiliation:
Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620
Email:
boris@math.usf.edu
DOI:
10.1090/S0002-9939-08-09816-X
PII:
S 0002-9939(08)09816-X
Keywords:
Ideal interpolation,
nested ideals,
multivariate divided differences
Received by editor(s):
May 30, 2008
Posted:
December 11, 2008
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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