Riesz operators with finite rank iterates

Finite Rank Toeplitz Operators in Bergman Spaces

We discuss resent developments in the problem of description of finite rank Toeplitz operators in different Bergman spaces and give some applications

Iterates of Conditional Expectation Operators

A Class of Subnormal Operators with Finite Rank Self-commutators

In this paper, the family of pure subnormal operators S with m.n.e. N and finite rank self-commutators satisfying c~(S) = closed unit disk and or(N) = unit circle U{a l , . . . , am} is studied. A necessary and sufficient condition for a pair of matrices {A, C} to be a complete unitary invariance of S in this family is given. The concrete model for some sub-family of this family is also given i...

Riesz Composition Operators

We give a sufficient condition for a univalently induced composition operator on the Hardy space H2 to be a Riesz operator. We then establish that every Riesz composition operator has a Koenigs model and explore connections our work has with the model theory and spectral theory of composition operators.

Iterates of Volterra operators and indeterminate forms

During the last decades, many attempts have beenmade in order to explain and formalize mathematically a large set of phenomena that, at a first glance, are not well described by traditional theories. Among those attempts one finds the whole theory of self-organized criticality and some statistical theories. In recent years, a popular approach has been a Daróczy-like entropy [2] and its correspo...