Geodesic
THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 437-443

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DOI

We show in a straightforward way that the non-commutative Schwartz space is weakly amenable. At the end, we leave an open problem. 
PISZCZEK, KRZYSZTOF. THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 437-443. doi: 10.1017/S0017089516000264
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     title = {THE {NON-COMMUTATIVE} {SCHWARTZ} {SPACE} {IS} {WEAKLY} {AMENABLE}},
     journal = {Glasgow mathematical journal},
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     year = {2017},
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     doi = {10.1017/S0017089516000264},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000264/}
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