On -quasiclass operators.
On multiparameter spectral theory.
On the compactness of the natural tensor product of compact operators.
On the joint numerical status and tensor products.
On the projection constants of some topological spaces and some applications.
On the tensor product weakly compact operators.
Operator positivity and analytic models of commuting tuples of operators
We study analytic models of operators of class with natural positivity assumptions. In particular, we prove that for an m-hypercontraction on a Hilbert space , there exist Hilbert spaces and ⁎ and a partially isometric multiplier θ ∈ ℳ (H²(),A²ₘ(⁎)) such that and , where A²ₘ(⁎) is the ⁎-valued weighted Bergman space and H²() is the -valued Hardy space over the unit disc . We then proceed to study analytic models for doubly commuting n-tuples of operators and investigate their applications...
Operator-valued inner product and operator inequalities.