Moisés Villegas-Vallecillos

Moisés Villegas-Vallecillos

Universidad de Cádiz
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Moisés Villegas-Vallecillos has a total of 24 co-authors. Here are the top co-authors by number of shared publications:

Latest Publications

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    Surjective Isometries on Function Spaces with Derivatives

    by M. G. Cabrera-Padilla, A. Jiménez-Vargas, Takeshi Miura, Moisés Villegas-Vallecillos

    Let $$A$$ A be a complex Banach space with a norm $$\left\| f\right\| =\left\| f\right\| _{X}+\left\| d(f)\right\| _{Y}$$ f = f X + d ( f ) Y for $$f\in A$$ f ∈ A , where d is a complex linear map from $$A$$ A onto a Banach space $$B$$ B , and $$\left\| \cdot \right\| _{K}$$ · K represents the supremum norm on a compact Hausdorff space $$K$$ K . In this paper, we characterize surjective isometries on $$(A,\left\| \cdot \right\| )$$ ( A , · ) , which may be nonlinear. This unifies former results on surjective isometries between specific function spaces.

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    Surjective isometries on function spaces with derivatives

    by M. G. Cabrera-Padilla, A. Jiménez-Vargas, Takeshi Miura, Moisés Villegas-Vallecillos

    Let $A$ be a complex Banach space with a norm $\|f\|=\|f\|_X+\|d(f)\|_Y$ for $f\in A$, where $d$ is a complex linear map from $A$ onto a Banach space $B$, and $\|\cdot\|_K$ represents the supremum norm on a compact Hausdorff space $K$. In this paper, we characterize surjective isometries on $(A,\|\cdot\|)$, which may be nonlinear. This unifies former results on surjective isometries between specific function spaces.

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    The Bishop–Phelps–Bollobás Property for Weighted Holomorphic Mappings

    by A. Jiménez-Vargas, M. I. Ramírez, Moisés Villegas-Vallecillos

    Given an open subset U of a complex Banach space E, a weight v on U and a complex Banach space F, let $$H^\infty _v(U,F)$$ H v ∞ ( U , F ) denote the Banach space of all weighted holomorphic mappings from U into F, endowed with the weighted supremum norm. We introduce and study a version of the Bishop–Phelps–Bollobás property for $$H^\infty _v(U,F)$$ H v ∞ ( U , F ) ( $$WH^\infty $$ W H ∞ -BPB property, for short). A result of Lindenstrauss type with sufficient conditions for $$H^\infty _v(U,F)$$ H v ∞ ( U , F ) to have the $$WH^\infty $$ W H ∞ -BPB property for every space F is stated. This is the case of $$H^\infty _{v_p}(\mathbb {D},F)$$ H v p ∞ ( D , F ) with $$p\ge 1$$ p ≥ 1 , where $$v_p$$ v p is the standard polynomial weight on $$\mathbb {D}$$ D . The study of the relations of the $$WH^\infty $$ W H ∞ -BPB property for the complex and vector-valued cases is also addressed as well as the extension of the cited property for mappings $$f\in H^\infty _v(U,F)$$ f ∈ H v ∞ ( U , F ) such that vf has a relatively compact range in F.

    Cited by 1
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    The Bishop--Phelps--Bollobás property for weighted holomorphic mappings

    by A. Jiménez-Vargas, M. I. Ramírez, Moisés Villegas-Vallecillos

    Given an open subset $U$ of a complex Banach space $E$, a weight $v$ on $U$ and a complex Banach space $F$, let $H^\infty_v(U,F)$ denote the Banach space of all weighted holomorphic mappings from $U$ into $F$, endowed with the weighted supremum norm. We introduce and study a version of the Bishop--Phelps--Bollobás property for $H^\infty_v(U,F)$ ($WH^\infty$-BPB property, for short). A result of Lindenstrauss type with sufficient conditions for $H^\infty_v(U,F)$ to have the $WH^\infty$-BPB property for every space $F$ is stated. This is the case of $H^\infty_{v_p}(\mathbb{D},F)$ with $p\geq 1$, where $v_p$ is the standard polynomial weight on $\mathbb{D}$. The study of the relations of the $WH^\infty$-BPB property for the complex and vector-valued cases is also addressed as well as the extension of the cited property for mappings $f\in H^\infty_v(U,F)$ such that $vf$ has relatively compact range in $F$.

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    On Focal Borel Probability Measures

    by Francisco Javier García-Pacheco, Jorge Rivero-Dones, Moisés Villegas-Vallecillos

    The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open subset. We also prove the existence of focal Borel probability measures on compact metric spaces. Lastly, we prove that the set of focal (regular) Borel probability measures is convex but not extremal in the set of all (regular) Borel probability measures.

    Cited by 1
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    2-Iso-reflexivity of pointed Lipschitz spaces

    by A. Jiménez-Vargas, Moisés Villegas-Vallecillos

    Cited by 6
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    A Survey on Isometries Between Lipschitz Spaces

    by M. G. Cabrera-Padilla, A. Jiménez-Vargas, Moisés Villegas-Vallecillos

    Cited by 2
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    Mathematical Conditions in Heliostat Models for Deterministic Computation of Setpoints

    by Moisés Villegas-Vallecillos, Luis J. Yebra

    Here is information on how to publish, spread your research, and search for your publications. Most of LiU's research publications are directly imported into DiVA from the Web of Science. Before registering a publication, always check if the publication is already in DiVA!

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    A three-dimensional approach to the porous surface of screens

    by A. J. Álvarez, R. M. Oliva, A. Jiménez-Vargas, M. Villegas-Vallecillos

    Currently, the porous surface of the screens is measured on digital images taken by microscope representing the orthogonal projection of the textiles. It is known that this way of measuring the porous surface underestimate largely the real hole surface. To improve this aspect, in this work the hole surface is identified as a specific region of the hyperbolic paraboloid and a methodology is developed to address its calculation. Indeed, the results show that the porous surface measured on orthogonal projection is significantly less than the real hole surface. However, the application of this methodology is very complex and for this reason an approximate alternative method that considerably simplifies the difficulty of the problem is proposed. The results obtained by one and another method have small discrepancies so that the approximate method is also a good option for the calculation of the porous surface of these textiles.

    Cited by 9
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    Biduality and density in Lipschitz function spaces

    by A. Jiménez-Vargas, J. M. Sepulcre, M. Villegas-Vallecillos

    For pointed compact metric spaces $(X,d)$, we address the biduality problem as to when the space of Lipschitz functions $\mathrm{Lip}_0 (X,d)$ is isometrically isomorphic to the bidual of the space of little Lipschitz functions $\mathrm{lip}_0 (X,d)$, and show that this is the case whenever the closed unit ball of $\mathrm{lip}_0 (X,d)$ is dense in the closed unit ball of $\mathrm{Lip}_0 (X,d)$ with respect to the topology of pointwise convergence. Then we apply our density criterion to prove in an alternative way the real version of a classical result which asserts that $\mathrm{Lip}_0 (X,d^\alpha )$ is isometrically isomorphic to $\mathrm{lip}_0 (X,d^\alpha )^{**}$ for any $\alpha \in (0,1)$.

    Cited by 1
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