10 papers
Multiple recurrence and hypercyclicity
Rodrigo Cardeccia, Santiago Muro
We study multiply recurrent and hypercyclic operators as a special case of -hypercyclicity, where is the family of subsets of the natural numbers containin…
Total least squares problems on infinite dimensional spaces
Maximiliano Contino, Guillermina Fongi, Alejandra Maestripieri +1
In this work we study weighted total least squares problems on infinite dimensional spaces. We show that in most cases this problem does not admit a solution (except in the trivial…
Arithmetic progressions and chaos in linear dynamics
Rodrigo Cardeccia, Santiago Muro
We characterize chaotic linear operators on reflexive Banach spaces in terms of the existence of long arithmetic progressions in the sets of return times. To achieve this, we study…
The algebra of bounded type holomorphic functions on the ball
Daniel Carando, Daniela M. Vieira, Santiago Muro
We study the spectrum of the algebra of bounded type holomorphic functions on a complete Reinhardt domain in a symmetrically regular Banach space as an analytic manifo…
Orbits of homogeneous polynomials on Banach spaces
Rodrigo Cardeccia, Santiago Muro
We study the dynamics induced by homogeneous polynomials on Banach spaces. It is known that no homogeneous polynomial defined on a Banach space can have a dense orbit. We show, a s…
Mixed Bohr radius in several variables
Daniel Galicer, Martín Mansilla, Santiago Muro
Let be the -dimensional -Bohr radius for holomorphic functions on . That is, denotes the grea…