Now showing items 1-4 of 4
Operators with dense images everywhere [Article]
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
Universal matrix transforms of holomorphic functions [Article]
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
Subspaces of frequently hypercyclic functions for sequences of composition operators. [Article]
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known ...
Strongly omnipresent operators: general conditions and applications to composition operators [Article]
(Cambridge University Press, 2002-06)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. An operator T on the space H(G) of holomorphic functions on a complex domain G is called strongly ...