0000000000480886

AUTHOR

Alejandro Miralles

0000-0002-8059-5707

showing 5 related works from this author

Interpolating sequences on uniform algebras

2009

Abstract We consider the problem of whether a given interpolating sequence for a uniform algebra yields linear interpolation. A positive answer is obtained when we deal with dual uniform algebras. Further we prove that if the Carleson generalized condition is sufficient for a sequence to be interpolating on the algebra of bounded analytic functions on the unit ball of c 0 , then it is sufficient for any dual uniform algebra.

Discrete mathematicsUnit sphereSequencePseudohyperbolic distanceUniform algebraInterpolating sequenceLinear interpolationDual (category theory)Analytic functionUniform algebraBounded functionGeometry and TopologyAlgebra over a fieldAnalytic functionMathematicsTopology
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Interpolating sequences for bounded analytic functions

2007

. We prove that any sequence in the open ball of a complex Banach space E, even in that of E**, whose norms are an interpolating sequence for H∞, is interpolating for the space of all bounded analytic functions on BE-The construction made yields that the interpolating functions depend linearly on the interpolated values.

SequenceApplied MathematicsGeneral MathematicsBounded functionMathematical analysisBanach spaceSpace (mathematics)Analytic functionMathematicsProceedings of the American Mathematical Society
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La Experiencia ESTALMAT en la Comunidad Valenciana

2008

<p>El proyecto ESTALMAT es un programa para la detección y el estímulo del talento matemático precoz. Vamos a contar aquí cuáles son sus orígenes, así como la reciente puesta en marcha de éste en la Comunidad Valenciana.</p>

General MedicineGeneral Chemistrylcsh:L7-991lcsh:Education (General)Modelling in Science Education and Learning
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CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS

2008

AbstractWe construct chaotic m-homogeneous maps acting on $\mathcal{C}^{r}_{\mathtt{+}}( [0,\infty ))$ for any m ≥ 2, $r\in\mathbb{N}\cup\{0\},$ and on the Fréchet spaces $\mathcal{C}_{\mathbb{R}}(\mathbb{R})$ for odd values of m ≥ 3 and $\mathcal{C}_{\mathbb{C}}(\mathbb{R})$ for any m ≥ 2.

Discrete mathematicsGeneral MathematicsChaoticDifferentiable functionMathematicsGlasgow Mathematical Journal
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Bloch functions on the unit ball of an infinite dimensional Hilbert space

2015

The Bloch space has been studied on the open unit disk of C and some ho- mogeneous domains of C n . We dene Bloch functions on the open unit ball of a Hilbert space E and prove that the corresponding space B(BE) is invariant under composition with the automorphisms of the ball, leading to a norm that- modulo the constant functions - is automorphism invariant as well. All bounded analytic functions on BE are also Bloch functions. ones, resulting the fact that if for a given n; the restrictions of the function to the n-dimensional subspaces have their Bloch norms uniformly bounded, then the function is a Bloch one and conversely. We also introduce an equivalent norm forB(BE) obtained by repla…

Unit sphereBloch spaceBloch sphereBounded functionMathematical analysisBloch functionUniform boundednessBall (mathematics)Infinite dimensional holomorphyAnalysisMathematicsAnalytic functionBloch wave
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