Tensor products and Projections
Copyright policy )Tensor products and Projections
Summary: Using a conjecture of Grothendieck as focal point, we give a display of the interaction between various concepts from the geometry of Banach spaces. These concepts include tensor norms, the Banach-Mazur distance and uniformly complemented subspaces. The interaction is achieved with the aid of three powerful results: (a) an inequality on bilinear forms due to Hardy and Littlewood, (b) F. John's upper bound for projection norms, and (c) Dvoretzky's spherical sections theorem.
Dvoretzky's spherical sections theorem, Geometry and structure of normed linear spaces, geometry of Banach spaces, uniformly complemented subspaces, tensor norms, Banach-Mazur distance, conjecture of Grothendieck, an inequality on bilinear forms due to Hardy and Littlewood, Tensor products in functional analysis, John's upper bound for projection norms, Spaces of operators; tensor products; approximation properties
Dvoretzky's spherical sections theorem, Geometry and structure of normed linear spaces, geometry of Banach spaces, uniformly complemented subspaces, tensor norms, Banach-Mazur distance, conjecture of Grothendieck, an inequality on bilinear forms due to Hardy and Littlewood, Tensor products in functional analysis, John's upper bound for projection norms, Spaces of operators; tensor products; approximation properties
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