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The metric theory of the tensor products (Grothendieck's Résumé Revisited) Part 5: Injective and projective tensor norms


Joe Diestel
Jan Fourie
Johan Swart

Abstract

In this continuation of our multiseries on Grothendieck's ‘Resume', we look at the projective and injective properties of general tensor norms. We also introduce the concepts of left and right
injectivity as well as left and right projectivity.

Mathematics Subject Classification (2000): 47B10, 46B28, 46E15, 46E30

Key words: Injective and projective tensor norm, left injective, right injective, left projective, right projective.


Quaestiones Mathematicae 26(2003), 479–499

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606