Add to ORKGThe existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property are provided and applied to obtain a number of concrete examples: infinite order differential operators, composition operators and multiplication operators, among others.Key words and phrases: dense images, infinite dimensional closed linear spaces, non-relatively compact subsets, residual sets, differential operators, composition operators, multiplication operators.Plan Andaluz de Investigación (Junta de Andalucía)Dirección General de Enseña...
AbstractAssume that G is a nonempty open subset of the complex plane and that T is an operator on th...
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuo...
We display four approximation theorems for manifold-valued mappings. The first one approximates holo...
Abstract. The existence of infinite dimensional closed linear spaces of holomorphic functions f on a...
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractIn this paper, the authors introduce the dense-image operators T as those with a wild behavi...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of th...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractIn this paper the new concept of totally omnipresent operators is introduced. These operator...
In this paper we introduce two classes of operators on spaces of continuous functions with values i...
In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a ...
In this paper the new concept of totally omnipresent operators is introduced. These operators act o...
AbstractAssume that G is a nonempty open subset of the complex plane and that T is an operator on th...
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuo...
We display four approximation theorems for manifold-valued mappings. The first one approximates holo...
Abstract. The existence of infinite dimensional closed linear spaces of holomorphic functions f on a...
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractIn this paper, the authors introduce the dense-image operators T as those with a wild behavi...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of th...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractIn this paper the new concept of totally omnipresent operators is introduced. These operator...
In this paper we introduce two classes of operators on spaces of continuous functions with values i...
In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a ...
In this paper the new concept of totally omnipresent operators is introduced. These operators act o...
AbstractAssume that G is a nonempty open subset of the complex plane and that T is an operator on th...
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuo...
We display four approximation theorems for manifold-valued mappings. The first one approximates holo...