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

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

Document Type : Research Paper

Author

A member Academic staff of university of Guilan

Abstract

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) {\hat{\otimes}}^{p} A_{p} (H)

is an order isomorphism for amenable groups

G

and

H

Keywords