Displaying similar documents to “Topological radicals, I. Basic properties, tensor products and joint quasinilpotence”

Tensor products in the category of topological vector spaces are not associative

Helge Glöckner (2004)

Commentationes Mathematicae Universitatis Carolinae

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We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.

The associated tensor norm to ( q , p ) -absolutely summing operators on C ( K ) -spaces

J. A. López Molina, Enrique A. Sánchez-Pérez (1997)

Czechoslovak Mathematical Journal

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We give an explicit description of a tensor norm equivalent on C ( K ) ⊗ F to the associated tensor norm ν q p to the ideal of ( q , p ) -absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to ν q p .