THE OPERATOR HILBERT SPACE OH AND TYPE III VON NEUMANN ALGEBRAS Page 1 Bull.
London Math. Soc. 36 (2004) 455–459 Cо2004 London Mathematical Society DOI …

We prove a factorization of completely bounded maps from a C*-algebra A (or an exact
operator space E⊂ A) to ℓ 2 equipped with the operator space structure of (C, R) θ (0< θ< 1) …

Let 𝓡 be a von Neumann algebra on the Hilbert space H. Then H, as a Banach left module
over 𝓡 with the multiplication a· x= a (x), is projective if and only if the following conditions …

In [1] A. Connes proved a fundamental result in operator algebras which gives a powerful
intrinsic characterization of the hyperfinite algebras as those von Neumann algebras that are …

We will prove that if the predual of an injective von Neumann algebra is embedded in the
predual of another von Neumann algebra almost completely isometrically, then it is …

A von Neumann algebra acting on a Hilbert space H is injective if there is a projection of
norm 1 from B {H) onto M. It is natural to ask if the existence of a bounded projection from B …

Injective von Neumann Algebras Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 44, Number 1, May 1974 INJECTIVE VON NEUMANN ALGEBRAS RICHARD …

In the global theory of operators on a Hilbert space, it is a principal problem to fully classify
all operators, especially non-normal operators. The character of an operator is closely …

During the academic year 1970-71, the Department of Mathematics of Tulane University had
a special program in ring theory and operator theory, and I had an occasion to participate in …

It is known that every properly infinite von Neumann algebra $\mathcal {A} $ on a separable
Hilbert space has a single generator. We show in this paper that a generator for $\mathcal …