Tensor products of generalized -algebras

Generalized B ⁎ -algebras (shortly, GB ⁎ -algebras) are generalizations of C ⁎ -algebras and belong to the class of abstract unbounded operator algebras. These algebras have interesting applications in mathematical physics and this gives a strong impetus for studying them. To our knowledge, up to now, there is nothing in the literature about tensor products of GB ⁎ -algebras. For this reason, this paper is devoted to the investigation of this subject matter.