60 citations · 114 across the 6 of their papers we have counts for
12 papers · 1 filter
Diagonals of self-adjoint operators
William Arveson, Richard V. Kadison
The eigenvalues of a self-adjoint nxn matrix A can be put into a decreasing sequence , with repetitions according to multiplicity, and the diagonal of A is a point…
Quotients of Standard Hilbert Modules
William Arveson
We initiate a study of Hilbert modules over the polynomial algebra A=C[z_1,...,z_d] that are obtained by completing A with respect to an inner product having certain natural proper…
The Free Cover of a Row Contraction
William Arveson
We establish the existence and uniqueness of finite free resolutions - and their attendant Betti numbers - for graded commuting d-tuples of Hilbert space operators. Our approach is…
p-Summable Commutators in Dimension d
William Arveson
We show that many invariant subspaces M for d-shifts (S_1,...,S_d) of finite rank have the property that the projection P onto M almost commutes with the S_k in the sense that the…
Asymptotic Stability I: Completely Positive Maps
William Arveson
We show that for every "locally finite" unit-preserving completely positive map P acting on a C*-algebra, there is a corresponding *-automorphism αof another unital C*-algebra such…
Four Lectures on Noncommutative Dynamics
William Arveson
These lectures concern basic aspects of the theory of semigroups of endomorphisms of type factors that relate to causal dynamics, dilation theory, and the problem of classifyin…