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The tensor product of function algebras

Research paper by Youssef Azouzi, Mohamed Amine Ben Amor, Jamel Jaber

Indexed on: 01 Dec '15Published on: 01 Dec '15Published in: Mathematics - Functional Analysis



Abstract

In this paper we study the tensor product of two $f$-algebras. We show that the Riesz Subspace generated by a subalgebra in an $f$-algebra is an algebra in order to prove that the Riesz tensor product of two $f$-algebras has a structure of an $f$-algebra.