1,720,996 research outputs found
Ideals of Multilinear Forms - a Limit Order Approach
Full text linkFil: Carando, Daniel. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Dimant, Verónica. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Sevilla-Peris, Pablo. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina
Limit Orders and multilinear Forms on lp Spaces
Full text linkFil: Carando, Daniel. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Dimant, Verónica. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Sevilla-Peris, Pablo. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina
The bohnenblust-hille inequality combined with an inequality of Helson
Full text linkWe give a variant of the Bohenblust-Hille inequality which, for certain families of polynomials, leads to constants with polynomial growth in the degree.Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Defant, Andreas. Universitat Oldenburg; AlemaniaFil: Sevilla Peris, Pablo. Universidad Politécnica de Valencia; Españ
Multipliers for Hardy spaces of Dirichlet series
No full text[EN] We characterise the space of multipliers from the Hardy space of Dirichlet series H(P )into 'H-q for every 1 <= p, q <= infinity. For a fixed Dirichlet series, we also analyse some structural properties of its associated multiplication operator. In particular, we study the norm, the essential norm, and the spectrum for an operator of this kind. We exploit the existing natural identification of spaces of Dirichlet series with spaces of holomorphic functions in infinitely many variables and apply several methods from complex and harmonic analysis to obtain our results. As a byproduct we get analogous statements on such Hardy spaces of holomorphic functions.First author supported by CONICET-PIP 11220200102336. Second author supported by PICT 2018-4250. Third author supported by grant PID2021-122126NB-C33 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe", and by GV Project AICO/2021/170.Fernández Vidal, T.;Galicer, D.;Sevilla Peris, Pablo (2025). Multipliers for Hardy spaces of Dirichlet series. Annales de l'Institut Fourier. 75(2):541-577. https://doi.org/10.5802/aif.3658S54157775
Ideals of Multilinear Forms – a Limit Order Approach
Full text linkA general theory of limit orders for ideals of multilinear forms is developed. We relate the limit order of an ideal to those of its maximal hull and its adjoint ideal. We study the limit orders of the ideals of dominated and multiple summing multilinear forms. Finally, estimates of the diagonal of a (non-necessarily diagonal) multilinear form are presented, in terms of the limit order of the ideals to which it belongs.Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Dimant, Veronica Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de San Andrés. Departamento de Matemáticas y Ciencias; ArgentinaFil: Sevilla Peris, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Politécnica de Valencia; Españ
Monomial convergence on ℓr
Full text linkWe develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over er for 1 < r < 2. For Hb(er), the space of entire functions of bounded type in er, we prove that mon Hb (er) is exactly the Marcinkiewicz sequence space m Ψ, where the symbol Ψr is given by Ψr(n): = log(n + 1)1-1/r for n ϵ ℕ0. For the space of m -homogeneous polynomials on er, we prove that the set of monomial convergence mon P(mer) contains the sequence space eq, where q = (mr 1)1 Moreover, we show that for any q < s < ∞, the Lorentz sequence space eq,s lies in mon P(mer), provided that m is large enough. We apply our results to make an advance in the description of the set of monomial convergence of H∞(Bir) (the space of bounded holomorphic functions on the unit ball of tr). As a byproduct we close the gap on certain estimates related to the mixed unconditionality constant for spaces of polynomials over classical sequence spaces.Fil: Galicer, Daniel Eric. Universidad de Buenos Aires; ArgentinaFil: Mansilla, Martín. Universidad de Buenos Aires; ArgentinaFil: Muro, Santiago. Universidad Nacional de Rosario; ArgentinaFil: Sevilla-Peris, Pablo. Universidad Politécnica de Valencia; Españ
Multilinear H older-type inequalities on Lorentz sequence spaces
Full text linkFil: Carando, Daniel. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Dimant, Verónica. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.Fil: Sevilla-Peris, Pablo. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.We establish Hölder type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals
Extendibility of bilinear forms on banach sequence spaces
Full text linkWe study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c0 in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Sevilla Peris, Pablo. Universidad Politécnica de Valencia; Españ
Some polynomial versions of cotype and applications
Full text linkWe introduce non-linear versions of the classical cotype of Banach spaces. We show that spaces with l.u.st. and cotype, and spaces having Fourier cotype enjoy our non-linear cotype. We apply these concepts to get results on convergence of vector-valued power series in infinite many variables and on L1-multipliers of vector-valued Dirichlet series. Finally we introduce cotype with respect to indexing sets, an idea that includes our previous definitions.Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Defant, Andreas. Universität Oldenburg; AlemaniaFil: Sevilla Peris, Pablo. Universidad Politécnica de Valencia; Españ
A Note on the Symmetry of Sequence Spaces
Full text linkWe 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. Many of the presented results are known or commonly accepted, but are not found in the literature.Fil: Carando, Daniel Germán. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Mazzitelli, Martin Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Sevilla Peris, Pablo. Universidad Politécnica de Valencia; Españ
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