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Displaying similar documents to “Corrections to “Differentiable mappings in the Schoenflies theorem””

Fully absolutely summing and Hilbert-Schmidt multilinear mappings.

Mário C. Matos (2003)

Collectanea Mathematica

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The space of the fully absolutely (r;r1,...,rn)-summing n-linear mappings between Banach spaces is introduced along with a natural (quasi-)norm on it. If r,rk C [1,+infinite], k=1,...,n, this space is characterized as the topological dual of a space of virtually nuclear mappings. Other examples and properties are considered and a relationship with a topological tensor product is stablished. For Hilbert spaces and r = r1 = ... = rn C [2,+infinite[ this space is isomorphic to the space...