Banach spaces with the 2-summing property
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A Banach space has the -summing property if the norm of every linear operator from to a Hilbert space is equal to the -summing norm of the operator. Up to a point, the theory of spaces which have this property is independent of the scalar field: the property is self-dual and any space with the property is a finite dimensional space of maximal distance to the Hilbert space of the same dimension. In the case of real scalars only the real line and real have the -summing property. In the complex case there are more examples; e.g., all subspaces of complex and their duals.
Transactions of the American Mathematical Society
author list (cited authors)
Arias, A., Figiel, T., Johnson, W. B., & Schechtman, G.
complete list of authors
Arias, A||Figiel, T||Johnson, WB||Schechtman, G