Representation of contractively complemented Hilbertian operator
spaces and the Fock space
The Hilbertian operator spaces Hnk, 1 ≤ k ≤ n,
generalizing the row and column Hilbert spaces, and arising in the authors'
previous study of contractively complemented subspaces of C*-algebras, are
shown to be homogeneous and completely isometric to a space of creation
operators on a subspace of the anti-symmetric Fock space. The completely
bounded Banach-Mazur distance from Hnk to row or column
space is explicitly calculated.
(This paper has appeared in Proc. Amer. Math. Soc. 134 (2006), no. 2,
475-485)
Matthew Neal < nealm@denison.edu >
Bernard Russo < brusso@math.uci.edu >