Geodesic
Tensor Products of Banach Algebras*
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 691-701

Voir la notice de l'article provenant de la source Cambridge University Press

In [3] Gelbaum defined the tensor product A ⊗CB of three commutative Banach algebras, A, B and C and established some of its properties. Various examples are given and the particular case where A, B and C are group algebras of L.C.A. groups G, H and K respectively, is discussed there. It is shown there that if K is compact L1(G) ⊗ L1(K) L1(H) is isomorphic to where is L.C.A. 1 L (K) 1 1 if and only if L1(G) ⊗ L1(K) L1(H) is semisimple. 
Natzitz, Boaz. Tensor Products of Banach Algebras*. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 691-701. doi: 10.4153/CMB-1968-083-3
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