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Listar por autor "López Pellicer, Manuel"

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A quantitative approach to weak compactness in Fréchet spaces and spaces C(X)

Angosto Hernández, Carlos; Kakol, Jerzy Marian; López Pellicer, Manuel (Elsevier, 2013-07-01)

[EN] Let E be a Frechet space, i.e. a metrizable and complete locally convex space (lcs), E '' its strong second dual with a defining sequence of seminorms parallel to center dot parallel to(n) induced by a decreasing basis ...
A quantitative version of Krein's theorems for Fréchet spaces

Angosto Hernández, Carlos; Kakol, Jerzy; Kubzdela, Albert; López Pellicer, Manuel (Springer Verlag (Germany), 2013-05)

For a Banach space E and its bidual space E'', the function k(H) defined on bounded subsets H of E measures how far H is from being σ(E,E')-relatively compact in E. This concept, introduced independently by Granero, ...
A Survey on Nikodým and Vitali-Hahn-Saks Properties

López Alfonso, Salvador; López-Pellicer, Manuel; Mas Marí, José (Y&#305lmaz Simsek, 2021)

[EN] Let ba(A) be the Banach space of the real (or complex) finitely additive measures of bounded variation defined on an algebra A of subsets of Omega and endowed with the variation norm. . A subset B of A is a Nikod ́ym ...
A Survey on Valdivia Open Question on Nikodým Sets

López Alfonso, Salvador; López Pellicer, Manuel; Moll López, Santiago Emmanuel; Sánchez Ruiz, Luis Manuel (MDPI AG, 2022-08)

[EN] Let A be an algebra of subsets of a set W and ba(A) the Banach space of bounded finitely additive scalar-valued measures on A endowed with the variation norm. A subset B of A is a Nikodým set for ba(A) if each countable ...
Baire-Type Properties in Metrizable c(0)(omega, X)

López Alfonso, Salvador; López Pellicer, Manuel; Moll López, Santiago Emmanuel (MDPI AG, 2022-01)

[EN] Ferrando and Lüdkovsky proved that for a non-empty set $\Omega $\ and a normed space $X$, the normed space $c_{0}(\Omega ,X)$ is barrelled, ultrabornological, or unordered Baire-like if and only if $X$ is, respectively, ...
Classifying Topologies through G-Bases

Ferrando, Juan Carlos; López Pellicer, Manuel (MDPI AG, 2022-12-19)

[EN] We classify several topological properties of a Tychonoff space $X$ by means of certain locally convex topologies $\mathcal{T}$ with a $\mathfrak{G}$-base located between the pointwise topology $\tau _{p}$ and the ...
Compact covers and function spaces

Kakol, J.; López Pellicer, Manuel; Okunev, O. (Elsevier, 2014-03-01)

For a Tychonoff space X, we denote by Cp(X) and Cc(X) the space of continuous real-valued functions on X equipped with the topology of pointwise convergence and the compact-open topology respectively. Providing a ...
Convergence Estimates of a Family of Approximation Operators of Exponential Type

Gupta, Vijay; López Pellicer, Manuel; Srivastava, H. M. (National Library of Serbia, 2020)

[EN] The main object of this article is to consider a family of approximation operators of exponential type, which has presumably not been studied earlier due mainly to their seemingly complicated behavior. We estimate and ...
Covering Properties of Cp(X) and Ck(X)

Ferrando, J. C.; López Pellicer, Manuel (National Library of Serbia, 2020)

[EN] Let X be a Tychonoff space. We survey some classic and recent results that characterize the topology or cardinality of X when C-p (X) or C-k (X) is covered by certain families of sets (sequences, resolutions, ...
Distinguished Property in Tensor Products and Weak* Dual Spaces

López Alfonso, Salvador; López Pellicer, Manuel; Moll López, Santiago Emmanuel (MDPI AG, 2021-09)

[EN] A local convex space $E$ is said to be distinguished if its strong dual $E_{\beta }^{\prime }$ has the topology $\beta (E^{\prime },(E_{\beta}^{\prime })^{\prime })$, i.e., if $E_{\beta }^{\prime }$ is barrelled. ...
Elementos finitos en fenómenos de transmisión

López Pellicer, Manuel; López Alfonso, Salvador (Real Academia de Ciencias Exactas, Físicas y Naturales, 2011)

La forma de proceder de la teoría de Elementos Finitos recuerda la aplicación del Cálculo Diferencial en la resolución de problemas físicos, cuyo origen se sitúa en el siglo XVII, por lo que podemos suponer que, como sucedió ...
Elementos finitos en problemas mecánicos

López Pellicer, Manuel; López Alfonso, Salvador (Real Academia de Ciencias Exactas, Físicas y Naturales, 2012)

La descomposición de una estructura en elementos facilita la aplicación de los principios físicos en cada elemento. Luego se deben ensamblar las ecuaciones obtenidas y se generan grandes sistemas de ecuaciones lineales, ...
Homomorfismos real valuados en álgebras de funciones continuas

Berroa Liriano, Carlos Manuel (Universitat Politècnica de València, 2014-09-23)

[EN] Let X be a topological space, if we have a homomorphism Phi of C(X) in R, we denote by C(X) the algebra of continuous functions, then there exists a real Alpha such that for all f in C(X) it holds that Phi(f) = f ...
In memoriam: Manuel Valdivia Ureña (1928-2014)

López Pellicer, Manuel (Real Sociedad Matemática Española, 2014)

El artículo está dividido en 9 secciones. En la primera sección se describe el camino del profesor Valdivia hacia la Matemática, pues primero estudió Ingeniería Agronómica. Las siete secciones siguientes describen algunos ...
Jorge Juan y Antonio de Ulloa en el problema de la forma de la Tierra

López Pellicer, Manuel; Mora Martínez, Gaspar (Real Academia de Ciencias Exactas, Físicas y Naturales, 2022)

[EN] This article is the talk delivered at the Royal Academy of Sciences on January 29, 2020, within the 22nd edition of the Program for the Promotion of Scientific and Technological Culture. It was based on the article ...
Laurent Schwartz (1915-2002). Resumen de su vida y obra matemática

López Pellicer, Manuel (Real Academia de Ciencias Exactas, Físicas y Naturales, 2018)

[ES] Este artículo, publicado en 2018 por la Revista de la Academia de Ciencias, es un resumen de la vida y obra matemática de Laurent Schwartz (1915-2002) se analizan: 1. Antecedentes familiares. 2. Primeros estudios. 3. ...
Los Números base de la Ciencia y de la transmisión actual de la información

López Pellicer, Manuel (Real Academia de Ciencias Exactas, Físicas y Naturales, 2010)

[ES] Cuando enviamos mensajes por Internet utilizamos números, de forma menos visible que las rayas de numeración usadas en el Paleolítico. Siglos después apareció la base diez en jeroglíficos egipcios y reglas de cálculo ...
Note about lindelof Sigma-SPACES nu X

Kakol, Jerzy; López Pellicer, Manuel (Cambridge University Press, 2012)

The paper deals with the following problem: characterize Tichonov spaces X whose realcompactification ¿X is a Lindelöf ¿-space. There are many situations (both in topology and functional analysis) where Lindelöf ¿ (even ...
On a three-space property for Lindelöf Sigma-spaces, (WCG)-spaces and the Sobczyk property

Ferrer, Jesús; Kakol, Jerzy; López Pellicer, Manuel; Wójtowicz, Marek (Adam Mickiewicz University The Faculty of Mathematics and Computer Science, 2011)

[EN] Corson's example shows that there exists a Banach space EE which is not weakly normal but EE contains a closed subspace isomorphic to the Banach space C[0,1]C[0,1] and such that the quotient space E/C[0,1]E/C[0,1] is ...
On Four Classical Measure Theorems

López Alfonso, Salvador; López Pellicer, Manuel; Moll López, Santiago Emmanuel (MDPI AG, 2021-03)

[EN] A subset B of an algebra A of subsets of a set Omega has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded ...