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Listar por autor "Sevilla Peris, Pablo"

Mostrando ítems 1-20 de 37

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A Montel-Type Theorem for Hardy Spaces of Holomorphic Functions

Fernández Vidal, Tomás; Galicer, Daniel; Sevilla Peris, Pablo (Springer-Verlag, 2022-10)

[EN] We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. Precisely, we show that any bounded sequence of holomorphic functions in some Hardy space, has a ...
A new multilinear insight on the classical Littlewood's 4/3-inequality

Defant, Andreas; Sevilla Peris, Pablo (Elsevier, 2009-03-01)

[EN] We unify Littlewood's classical 4/3-inequality (a forerunner of Grothendieck's inequality) together with its in-linear extension due to Bohnenblust and Hille (which originally settled Bohr's absolute convergence problem ...
A note on abscissas of Dirichlet series

Defant, Andreas; Pérez, Antonio; Sevilla Peris, Pablo (Springer-Verlag, 2019-07)

[EN] We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet series are all equal. We also introduce ...
A Note on the Symmetry of Sequence Spaces

Carando, D.; Mazzitelli, M.; Sevilla Peris, Pablo (Pleiades Publishing, 2021-07)

[EN] We give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly interested in the symmetry of the norm and the existence of symmetric linear functionals. ...
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions

Carando, Daniel; Garcia, Domingo; Maestre, Manuel; Sevilla Peris, Pablo (Elsevier, 2009)

[EN] In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space HV (U) of holomorphic functions on U has a Frechet algebra ...
Almost sure-sign convergence of Hardy-type Dirichlet series

Carando, Daniel; Defant, A.; Sevilla Peris, Pablo (Springer-Verlag, 2018)

[EN] Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a Dirichlet series is uniformly a.s.- sign convergent (i.e., converges uniformly for almost all sequences of signs ...
Asymptotic estimates on the von Neumann inequality for homogeneous polynomials

Galicer, Daniel; Muro, Santiago; Sevilla Peris, Pablo (Walter de Gruyter GmbH, 2018-10)

[EN] By the von Neumann inequality for homogeneous polynomials there exists a positive constant C-k,C-q(n) such that for every k-homogeneous polynomial p in n variables and every n-tuple of commuting operators (T-1, ..., ...
BOHR'S ABSOLUTE CONVERGENCE PROBLEM FOR Hp-DIRICHLET SERIES IN BANACH SPACES

Carando, Daniel; Defant, Andreas; Sevilla Peris, Pablo (Mathematical Sciences Publishers (MSP), 2014)

[EN] The Bohr–Bohnenblust–Hille theorem states that the width of the strip in the complex plane on which an ordinary Dirichlet series P n ann −s converges uniformly but not absolutely is less than or equal to 1 2 , ...
Cluster values for algebras of analytic functions

Carando, Daniel; Galicer, Daniel; Muro, Santiago; Sevilla Peris, Pablo (Elsevier, 2018-04)

[EN] The Cluster Value Theorem is known for being a weak version of the classical Corona Theorem. Given a Banach space X, we study the Cluster Value Problem for the ball algebra A(u)(B-X), the Banach algebra of all uniformly ...
Compact weighted composition operators on spaces of holomorphic functions on Banach spaces

Bonet Solves, José Antonio; Jornet Casanova, David; Santacreu, Daniel; Sevilla Peris, Pablo (Theta Foundation, 2023)

[EN] Given an infinite dimensional Banach space X and its open unit ball B , we study when the weighted composition operator C ,l, ,p is compact in the space of all bounded analytic functions H & DEG;& DEG;(B) , and when ...
Composition Operators on Classes of Holomorphic Functions on Banach Spaces

Santacreu Ferra, Daniel (Universitat Politècnica de València, 2022-09-05)

[ES] El objetivo principal de esta tesis es el estudio de diferentes propiedades (principalmente ergódicas) de operadores de composición y de composición ponderados actuando en espacios de funciones holomorfas definidas ...
Composition operators on spaces of double Dirichlet series

Bayart, Frederic; Castillo-Medina, Jaime; Garcia, Domingo; Maestre, Manuel; Sevilla Peris, Pablo (Springer-Verlag, 2021-01)

[EN] We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series H infinity(C+2) We also ...
Convergence of Dirichlet polynomials in Banach spaces

Defant, Andreas; Sevilla Peris, Pablo (American Mathematical Society, 2011-02)

[EN] Recent results on Dirichlet series Sigma(n) a(n) 1/n(s), s is an element of C, with coefficients a(n) in an infinite dimensional Banach space X show that the maximal width of uniform but not absolute convergence ...
Convergence of iterates of operators on Banach spaces

Zago, Nicola (Universitat Politècnica de València, 2023-09-22)

[ES] Consideramos el espacio L(X) de operadores acotados en un espacio de Banach X dotado de tres topologías localmente convexas naturales: la de la norma, la topología débil de operadores, y la topología fuerte de operadores. ...
Convergence of monomial expansions in banach spaces

Defant, Andreas; Sevilla Peris, Pablo (Oxford University Press (OUP), 2012-09)

[EN] If E is a Banach sequence space, then each holomorphic function defines a formal power series ¿ ¿ c ¿(f) z ¿. The problem of when such an expansion converges absolutely and actually represents the function goes back ...
Corrigendum to Cluster values for algebras of analytic functions

Carando, Daniel; Galicer, Daniel; Muro, Santiago; Sevilla Peris, Pablo (Elsevier, 2018-04)

[EN] While the article was in publication process, we found a mistake in a key tool for the proof one of the main results. As a consequence, our result on the ball A(u)(B-X) algebra remains open. For the algebra H-b(X) we ...
Decoupling inequalities with exponential constants

Carando, Daniel; Marceca, Felipe; Sevilla Peris, Pablo (Springer-Verlag, 2022-06-25)

[EN] Decoupling inequalities disentangle complex dependence structures of random objects so that they can be analyzed by means of standard tools from the theory of independent random variables. We study decoupling inequalities ...
Diagonal extendible multilinear operators between l(p)-spaces

Carando, Daniel; Dimant, Verónica; Sevilla Peris, Pablo; Villafañe, Román (2014-09)

[EN] We study extendibility of diagonal multilinear operators from l(p) to l(p) spaces. We determine the values of and for which every diagonal -linear operator is extendible, and those for which the only extendible ones ...
Dirichlet series from the infinite dimensional point of view

Defant, A.; García, Domingo; Maestre, Manuel; Sevilla Peris, Pablo (Adam Mickiewicz University, 2018-12)

[EN] A classical result of Harald Bohr linked the study of convergent and bounded Dirichlet series on the right half plane with bounded holomorphic functions on the open unit ball of the space c(0) f complex null sequences. ...
Estimates for vector valued Dirichlet polynomials

Defant, Andreas; Schwarting, Ursula; Sevilla Peris, Pablo (Springer Verlag (Germany), 2014-09)

[EN] We estimate the -norm of finite Dirichlet polynomials with coefficients in a Banach space. Our estimates quantify several recent results on Bohr's strips of uniform but non absolute convergence of Dirichlet series in ...