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Extension of polynomials and John's theorem for symmetric tensor products
Author(s):
Daniel
Carando;
Verónica
Dimant
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1769-1773.
MSC (2000):
Primary 46G25, 46B28
Posted:
November 7, 2006
MathSciNet review:
2286087
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Additional information
Abstract:
We show that for every infinite-dimensional normed space  and every  there are extendible  -homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John.
References:
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Additional Information:
Daniel
Carando
Affiliation:
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, B1644BID Victoria, Buenos Aires, Argentina
Address at time of publication:
Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Email:
daniel@udesa.edu.ar, dcarando@dm.uba.ar
Verónica
Dimant
Affiliation:
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, B1644BID Victoria, Buenos Aires, Argentina
Email:
vero@udesa.edu.ar
DOI:
10.1090/S0002-9939-06-08666-7
PII:
S 0002-9939(06)08666-7
Keywords:
Extendible polynomials,
symmetric tensor products,
Grothendieck's conjecture
Received by editor(s):
August 16, 2005
Received by editor(s) in revised form:
February 1, 2006
Posted:
November 7, 2006
Additional Notes:
The first author was partially supported by CONICET Resolución No. 1584-04, UBACyT Grant X058 and ANPCyT PICT 03-15033.
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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