Grothendieck's Theorem, past and present

Probably the most famous of Grothendieck's contributions to Banach space theory is the result that he himself described as ``the fundamental theorem in the metric theory of tensor products''. That is now commonly referred to as ``Grothendieck's theorem'' (``GT'...

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Veröffentlicht in:Bulletin (new series) of the American Mathematical Society 2012-05, Vol.49 (2), p.237-323
1. Verfasser: Pisier, Gilles
Format: Artikel
Sprache:eng
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Zusammenfassung:Probably the most famous of Grothendieck's contributions to Banach space theory is the result that he himself described as ``the fundamental theorem in the metric theory of tensor products''. That is now commonly referred to as ``Grothendieck's theorem'' (``GT'' for short), or sometimes as ``Grothendieck's inequality''. This had a major impact first in Banach space theory (roughly after 1968), then, later on, in C^*
ISSN:0273-0979
1088-9485
DOI:10.1090/S0273-0979-2011-01348-9