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8 votes

The norm of tensor product operator on Lp spaces

For a Banach space $E$, let $L^p(X,E)$ be the completion of the simple functions $X\rightarrow E$ with the norm $\|f\| = \big(\int_X \|f(x)\|^p\big)^{1/p}$ (which reduces to a sum, as $f$ is simple). …
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4 votes

Continuity of the product map

If you want a reference, see: MR0806641 (86k:46088) Quigg, John C.(1-AZS) Approximately periodic functionals on C∗-algebras and von Neumann algebras. Canad. J. Math. 37 (1985), no. 5, 769–784. http:/ …
Matthew Daws's user avatar
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