44 citations · 53 across the 3 of their papers we have counts for
4 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…