Tensor Banach algebras of projective type. I

We construct a tensor Banach functorT that establishes a correspondence between every projectively admissible Banach spaceE over a complete normed fieldK with a tensor Banach algebra of projective typeT .All-Union Scientific-Research Center for the Study of Surfaces and the Vacuum. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 1, pp. 17–29, April, 1992.