Complexification of the projective and injective tensor products
Volume 189 / 2008
Studia Mathematica 189 (2008), 105-112
MSC: Primary 46B28.
DOI: 10.4064/sm189-2-2
Abstract
We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.