[EN] We prove that under some mild conditions on the symbol phi, the spectrum of the corresponding composition operator C-phi on the Korenblum type spaces A_(-alpha) and A(+)(-alpha) contains a closed ball of positive radius.
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, ...
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 ...
[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. ...
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 ...
[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 ...
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 ...
[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 ...