Geodesic
Grothendieck’s inequality in the noncommutative Schwartz space
Rupert H. Levene 1   ; Krzysztof Piszczek 2
1 School of Mathematics and Statistics University College Dublin Belfield, Dublin 4, Ireland
2 Faculty of Mathematics and Computer Science Adam Mickiewicz University in Poznań Umultowska 87 61-614 Poznań, Poland
Studia Mathematica, Tome 234 (2016) no. 2, pp. 185-194 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 Fréchet algebra of smooth operators. These hold in nonoptimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.
DOI : 10.4064/sm8552-6-2016
Keywords: spirit grothendieck famous inequality theory banach spaces study sequence inequalities noncommutative schwartz space chet algebra smooth operators these nonoptimal form simple nuclearity argument obtain optimal versions reformulate inequalities several different ways

Rupert H. Levene  1   ; Krzysztof Piszczek  2

1 School of Mathematics and Statistics University College Dublin Belfield, Dublin 4, Ireland
2 Faculty of Mathematics and Computer Science Adam Mickiewicz University in Poznań Umultowska 87 61-614 Poznań, Poland 
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Rupert H. Levene; Krzysztof Piszczek. Grothendieck’s inequality in the noncommutative Schwartz space. Studia Mathematica, Tome 234 (2016) no. 2, pp. 185-194. doi: 10.4064/sm8552-6-2016

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