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To what extent does the dual Banach space$E′$determine the polynomials over$E$?

Silvia Lassalle Departamento de Matemática (FCEN), Universidad de Buenos Aires Ignacio Zalduendo Departamento de Economía y Matemática, Universidad de San Andrés

TBD mathscidoc:1701.332946

Arkiv for Matematik, 38, (2), 343-354, 1998.8
We show that under conditions of regularity, if$E′$is isomorphic to$F′$, then the spaces of homogeneous polynomials over$E$and$F$are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral, extendible) are shown to be isomorphic in full generality.
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@inproceedings{silvia1998to,
  title={To what extent does the dual Banach space$E′$determine the polynomials over$E$?},
  author={Silvia Lassalle, and Ignacio Zalduendo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203559934768755},
  booktitle={Arkiv for Matematik},
  volume={38},
  number={2},
  pages={343-354},
  year={1998},
}
Silvia Lassalle, and Ignacio Zalduendo. To what extent does the dual Banach space$E′$determine the polynomials over$E$?. 1998. Vol. 38. In Arkiv for Matematik. pp.343-354. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203559934768755.
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