26 citations · 64 across the 17 of their papers we have counts for
24 papers
Asymptotic insights for projection, Gordon-Lewis and Sidon constants in Boolean cube function spaces
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The main aim of this work is to study important local Banach space constants for Boolean cube function spaces. Specifically, we focus on , the finite-d…
Projection constants for spaces of Dirichlet polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
Given a frequency sequence and a finite subset , we study the space of all Dirichlet polynomials $D(s) := \sum_{n \in…
The projection constant for the trace class
Andreas Defant, Daniel Galicer, Martín Mansilla +2
We study the projection constant of the space of operators on -dimensional Hilbert spaces, with the trace norm, . We show an integral formula for the projection…
Projection constants for spaces of multivariate polynomials
Andreas Defant, Daniel Galicer, Martín Mansilla +2
The general problem we address is to develop new methods in the study of projection constants of Banach spaces of multivariate polynomials. The relative projection constant $\bolds…
Frequently recurrence properties and block families
Rodrigo Cardeccia, Santiago Muro
We prove that reiteratively hypercyclic operators have perfect spectrum. Consequently, it follows that there exist separable infinite dimensional Banach spaces that do not support…
Polyak's theorem on Hilbert spaces
Maximiliano Contino, Guillermina Fongi, Santiago Muro
We extend to infinite dimensional Hilbert spaces a celebrated result, due to B. Polyak, about the convexity of the joint image of quadratic functions. We give sufficient conditions…
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…
Monomial convergence on
Daniel Galicer, Martín Mansilla, Santiago Muro +1
For , we study the set of monomial convergence for spaces of holomorphic functions over . For , the space of entire functions of bounded type in…
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…
Cluster values for algebras of analytic functions
Daniel Carando, Daniel Galicer, Santiago Muro +1
The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space , we study the Cluster Value Problem for the ball algebra $A_u(…
Hypercyclic homogeneous polynomials on
Rodrigo Cardeccia, Santiago Muro
It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fréchet spaces.…
The sup-norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials
Daniel Galicer, Martín Mansilla, Santiago Muro
Let be the best constant that fulfills the following inequality: for every -homogeneous polynomial in complex variables, $$\big(…
Hypercyclic behavior of some non-convolution operators on
Santiago Muro, Damián Pinasco, Martín Savransky
We study hypercyclicity properties of a family of non-convolution operators defined on spaces of holomorphic functions on . These operators are a composition of a dif…
Asymptotic estimates on the von Neumann inequality for homogeneous polynomials
Daniel Galicer, Santiago Muro, Pablo Sevilla-Peris
By the von Neumann inequality for homogeneous polynomials there exists a positive constant such that for every -homogeneous polynomial in variables and ever…
An integral formula for multiple summing norms of operators
Daniel Carando, Verónica Dimant, Santiago Muro +1
We prove that the multiple summing norm of multilinear operators defined on some -dimensional real or complex vector spaces with the -norm may be written as an integral with…
Strongly mixing convolution operators on Fréchet spaces of holomorphic functions
Santiago Muro, Damián Pinasco, Martín Savransky
A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on are hypercyclic. Moreover, it was shown by Bonill…
On algebras of holomorphic functions of a given type
Santiago Muro
We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally -convex Fréchet…
Every Banach ideal of polynomials is compatible with an operator ideal
Daniel Carando, Verónica Dimant, Santiago Muro
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of…
Holomorphic Functions and polynomial ideals on Banach spaces
Daniel Carando, Verónica Dimant, Santiago Muro
Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natu…
Envelopes of holomorphy and extension of functions of bounded type
Daniel Carando, Santiago Muro
We study the extension of holomorphic functions of bounded type defined on an open subset of a Banach space, to larger domains. For this, we first characterize the envelope of holo…