Positive Cone in p-Operator Projective Tensor Product of Fig\`a-Talamanca-Herz Algebras

In this paper we define an order structure on the p-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between A_p(G\times H) and A_p(G)\widehat{\otimes}^p A_p(H) is an order isomorphism for amenable groups G and H.

Positive Cone in p-Operator Projective Tensor Product of Fig\`a-Talamanca-Herz Algebras Keywords:

Fig`a-Talamanca-Herz algebra , order structure , p-operator spaces , p-operator projective tensor product