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Polynomials and limited sets
Author(s):
Pablo
Galindo
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1481-1488.
MSC (1991):
Primary 46G20;
Secondary 46B20
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Abstract:
We prove that scalar-valued polynomials are weakly continuous on limited sets and that, as in the case of linear mappings, every  -valued polynomial maps limited sets into relatively compact ones. We also show that a scalar-valued polynomial whose derivative is limited is weakly sequentially continuous.
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Additional Information:
Pablo
Galindo
Affiliation:
Departamento de Análisis Matemático, Universidad de Valencia, Doctor Molinar 50, 46100 Burjasot (Valencia), Spain
Email:
galindo@vm.ci.uv.es
DOI:
10.1090/S0002-9939-96-03175-9
PII:
S 0002-9939(96)03175-9
Keywords:
Polynomial,
limited set,
weakly conditionally compact set
Received by editor(s):
June 13, 1994
Received by editor(s) in revised form:
October 19, 1994
Additional Notes:
The author was supported in part by DGICYT pr. 91-0326 and by grant 93-081
Communicated by:
Theodore Gamelin
Copyright of article:
Copyright
1996,
American Mathematical Society
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