López Alfonso, Salvador; López-Pellicer, Manuel; Mas Marí, José(Yılmaz 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 ...
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 ...
[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, ...
López Alfonso, Salvador(Universitat Politècnica de València, 2016-12-16)
The classical Nykodym theorem (1933) asserts that a set H of countably additive complex measures defined on a sigma-algebra S which is bounded for each element of S, then H is uniformly bounded on S. It is well known that ...
[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. ...
Sánchez Ruiz, Luis Manuel; López Alfonso, Salvador; Moll López, Santiago Emmanuel; Moraño Fernández, José Antonio; Vega-Fleitas, Erika(MDPI AG, 2022-10)
[EN] The introduction of game-based learning techniques has significantly swayed learning, motivation, and information processing in both traditional and digital learning environments. This paper studies the footprint that ...
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 ...
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, ...
López Alfonso, Salvador; Mas Marí, José; Moll López, Santiago Emmanuel(Springer-Verlag, 2016)
[EN] A subset B of an algebra A of subsets of Omega is said to have property N if a
B-pointwise bounded subset M of ba(A ) is uniformly bounded on A , where ba(A ) is
the Banach space of the real (or complex) finitely ...
[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 ...
[EN] We call a subset M of an algebra of sets A a Grothendieck set for the Banach space ba (A) of bounded finitely additive scalar-valued measures on A equipped with the variation norm if each sequence fmn g n =1 in ba(A) ...
Ferrando, J. C.; López Alfonso, Salvador; López Pellicer, Manuel(National Library of Serbia, 2019)
[EN] If R is a ring of subsets of a set Omega and ba (R) is the Banach space of bounded finitely additive measures defined on R equipped with the supremum norm, a subfamily Delta of R is called a Nikodym set for ba (R) if ...
[EN] A subset B of a set-algebra A has property N if each B-pointwise bounded subset M of bounded measures of bounded variation is A -uniformly bounded. Each σ-algebra has property N and there exists algebras which ...
Ferrando, J. C.; López Alfonso, Salvador(Springer-Verlag, 2021-01-04)
[EN] A subset A of a locally convex space E is called (relatively) sequentially complete if every Cauchy sequence {x(n)}(n=1)(infinity) in E contained in A converges to a point x is an element of A (a point x is an element ...
López Alfonso, Salvador; Moll López, Santiago Emmanuel(Springer-Verlag, 2019)
[EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties equivalent to the existence of an infinite dimensional separable quotient in a Banach space with nice simplified proofs. ...
Caravaca Martínez, Silvana(Universitat Politècnica de València, 2022-10-26)
[EN] In the last years, the old post office of Gandia has been experiencing a disuse, losing its strategic location as the heart of the city. This project carries the will to give a second life and reactivate the historical ...
[EN] A subset B of an algebra A of subsets of Omega is a Nikodym set for ba(A) if each B-pointwise bounded subset M of ba(A) is uniformly bounded on A and B is a strong Nikodym set for ba(A) if each increasing covering ...
[EN] It is well known that a ¿-algebra ¿ of subsets of a set ¿ verifies both Nikodým property and property (G) for the Banach space ba(¿) of bounded finitely additive measures defined in ¿. A classic result of Valdivia ...