Arens regularity of the algebra 𝐴⊗̂𝐵

Ülger, A.

doi:10.1090/S0002-9947-1988-0924772-1

Arens regularity of the algebra $A\hat \otimes B$
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Trans. Amer. Math. Soc. 305 (1988), 623-639 Request permission

Erratum: Trans. Amer. Math. Soc. 355 (2003), 3839-3839.

Abstract:

Let $A$ and $B$ be two Banach algebras. On the projective tensor product $A\hat \otimes B$ of $A$ and $B$ there exists a natural algebra structure. In this note we study Arens regularity of the Banach algebra $A\hat \otimes B$.

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Geometry of Banach spaces applied to Arens regularity problems