arXiv:1605.01543 Abstract | arXiv Analytics

arXiv:1605.01543 [math.FA]Abstract References Reviews Resources

Grothendieck's inequality in the noncommutative Schwartz space

Published 2016-05-05Version 1

In the spirit of Grothendieck's famous inequality from the theory of Banach spaces, we study a sequence of inequalities for the noncommutative Schwartz space, a Fr\'echet algebra of smooth operators. These hold in non-optimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.

Categories: math.FA, math.OA

Subjects: 47A30, 47A07, 47L10, 47A63

Keywords: noncommutative schwartz space, grothendiecks inequality, simple nuclearity argument, grothendiecks famous inequality, frechet algebra

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