Isomorphisms between spaces of multilinear mappings or homogeneous polynomials


Let E and F be Banach spaces. Ourobjective in this  work is to find conditions under which,whenever the topological dual spaces E' and F' are isomorphic,the spaces of multilinear mappings (resp. homogeneous polynomials)on E and F are isomorphic as well. We also examine  thecorresponding problem for the spaces of multilinear mappings(resp. homogeneous polynomials) of a certain type, for instance offinite, nuclear, compact or weakly compact type.

DOI Code: 10.1285/i15900932v29n2p55

Banach space; Polynomials; Isomorphisms

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