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Contractions with Polynomial Characteristic Functions II. Analytic Approach
Ciprian Foias, Carl Pearcy, Jaydeb Sarkar
The simplest and most natural examples of completely nonunitary contractions on separable complex Hilbert spaces which have polynomial characteristic functions are the nilpotent op…
Canonical Models For Bi-Isometries
Hari Bercovici, Ronald G. Douglas, Ciprian Foias
A canonical model, analogous to the one for contraction operators, is introduced for bi-isometries, two commuting isometries on a Hilbert space. This model involves a contractive a…
Contractions with Polynomial characteristic functions I. Geometric approach
Ciprian Foias, Jaydeb Sarkar
In this note we study the completely non unitary contractions on separable complex Hilbert spaces which have polynomial characteristic functions. These operators are precisely thos…
Confluent operator algebras and the closability property
H. Bercovici, R. G. Douglas, C. Foias +1
Certain operator algebras A on a Hilbert space have the property that every densely defined linear transformation commuting with A is closable. Such algebras are said to have the c…
Resolutions of Hilbert Modules and Similarity
Ronald G. Douglas, Ciprian Foias, Jaydeb Sarkar
Let H^2_m be the Drury-Arveson (DA) module which is the reproducing kernel Hilbert space with the kernel function (z, w) \in B^m \times B^m \raro (1 - <z,w>)^{-1}. We investigate f…