Polynomials and limited sets

Galindo, Pablo

doi:10.1090/S0002-9939-96-03175-9

Polynomials and limited sets
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by Pablo Galindo PDF

Proc. Amer. Math. Soc. 124 (1996), 1481-1488 Request permission

Abstract:

We prove that scalar-valued polynomials are weakly continuous on limited sets and that, as in the case of linear mappings, every $c_0$-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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