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Artículo
Strongly omnipresent integral operators
(Springer, 2002-12)
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. ...
Artículo
Strongly omnipresent operators: general conditions and applications to composition operators
(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 ...
Artículo
Existence and nonexistence of hypercyclic semigroups
(American Mathematical Society, 2007-03)
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– ...