15 citations · 18 across the 7 of their papers we have counts for
7 papers
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…
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…
Equivalence of quotient Hilbert modules
Ronald G. Douglas, Gadadhar Misra
Let $\cl{M}$ be a Hilbert module of holomorphic functions over a natural function algebra , where $Ω\subseteq \bb{C}^m$ is a bounded domain. Let $\cl{M}_0\subseteq…
Ideals in Toeplitz Algebras
Ronald G. Douglas
We determine the ideal structure of the Toeplitz C*-algebra on the bidisk.