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arXiv · 1605.01543

Grothendieck's inequality in the noncommutative Schwartz space

Rupert H. Levene·Krzysztof Piszczek
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Abstract

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.

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Rupert H. Levene, Krzysztof Piszczek. 2016-05-05. Grothendieck's inequality in the noncommutative Schwartz space. https://doi.org/10.4064/sm8552-6-2016

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