INVESTIGADORES
MURO Luis Santiago Miguel
artículos
Título:
Dynamics of non convolution operators and holomorphy types
Autor/es:
MURO, SANTIAGO; PINASCO, DAMIÁN; SAVRANSKY, MARTÍN
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2018
ISSN:
0022-247X
Resumen:
In this article we study the hypercyclic behavior of non convolution operators defined on spaces of analytic functions of different holomorphy types over Banach spaces. The operators in the family we analyze are a composition of differentiation and composition operators, and are extensions of operators in H(C)studied by Aron and Markose in 2004. The dynamics of this class of operators, in the context of one and several complex variables, was further investigated by many authors. It turns out that the situation is somewhat different and that some purely infinite dimensional difficulties appear. For example, in contrast to the several complex variable case, it may happen that the symbol of the composition operator has no fixed points and still, the operator is not hypercyclic. We also prove a Runge type theorem for holomorphy types on Banach spaces
