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4
votes
Accepted
Is the norm of the Banach space projective tensor product of finite-dimensional C*-algebras ...
I think there are various reasons from abstract tensor norm theory why this is impossible, but I'll try to give a concrete example. First, a $C^*$-norm on an algebra is uniquely determined; therefore, …
8
votes
Accepted
Containment of $c_0$ in projective tensor products
The answer is no. Bourgain and Pisier have given a counterexample (A construction of $\mathcal{L}_\infty$-spaces and related Banach spaces. Bol. Soc. Bras. Mat. 14, No. 2, 109-123 (1983). See Zbl 0586 …