20 citations · 36 across the 6 of their papers we have counts for
6 papers
On the Structure of the Square of a C_0(1) Operator
Ronald G. Douglas, Ciprian Foias
WE use the structure theory for C_0 operators to determine when the square of a C_0(1) operator is irreducible and when its lattices of invariant and hyperinvariant subspaces coinc…
A new kind of index theorem
Ronald G. Douglas
Index theory has had profound impact on many branches of mathematics. In this note we discuss the context for a new kind of index theorem. We begin, however, with some operator the…
Equivalence of quotient Hilbert modules -- II
Ronald G. Douglas, Gadadhar Misra
For any open, connected and bounded set , let be a natural function algebra consisting of functions holomorphic on . Let be a H…
On quasi-free Hilbert modules
Ronald G. Douglas, Gadadhar Misra
In this note we settle some technical questions concerning finite rank quasi-free Hilbert modules and develop some useful machinery. In particular, we provide a method for determin…
Essentially Reductive Hilbert Modules
Ronald G. Douglas
Consider a Hilbert space obtained as the completion of the polynomials C[z} in m-variables for which the mnonomials are orthogonal. If the commuting weighted shifts defined by the…
Generalized Berezin Transform and Commutator Ideals
Kenneth R. Davidson, Ronald G. Douglas
For a quasi-free module over a function algebra , we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the com…