Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616082 | Journal of Mathematical Analysis and Applications | 2014 | 8 Pages |
Abstract
Extending a classical linear result due to Hutton to a nonlinear setting, we prove that a continuous homogeneous polynomial between Banach spaces can be approximated by finite rank polynomials if and only if its adjoint can be approximated by finite rank linear operators. Among other consequences, we apply this result to generalize a classical result due to Aron and Schottenloher about the approximation property on spaces of polynomials and a recent result due to Çaliskan and Rueda about the quasi-approximation property on projective symmetric tensor products.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Geraldo Botelho, Letícia Polac,