[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 ...
Kakol, Jerzy Marian; López Pellicer, Manuel(Springer, 2011)
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, ...
[EN] A subset Y of the dual closed unit ball B_{E*} of a Banach space E is called a Rainwater set for E if every bounded sequence of E that converges pointwise on Y converges weakly in E. In this paper, topological properties ...
[EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued ...
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...
[EN] Following Schachermayer, a subset B of an algebra A of subsets of Ω is said to have the N-property if a B-pointwise bounded subset Mof ba(A)is uniformly bounded on A, where ba(A) is the Banach space of the real ...
López Pellicer, Manuel(Real Academia de Ciencias, 2005)
[ES] Hay científicos propensos a creer que casi todas las cosas de algún valor se hicieron en los dos últimos siglos, debido a los resultados asombrosos obtenidos en tiempos recientes, y que nadie cuestiona que se apoyan ...
López Pellicer, Manuel(Real Academia de Ciencias Exactas, Físicas y Naturales, 2015)
[ES] Se describe:
1. La actividad Matemática española a mediados del XIX
2. El Premio Nobel de Santiago Ramón y Cajal y la Junta para la Amplliación de Estudios.
3. La época de estudiante de Rey Pastor.
4. La fundación ...
Using the index of Nagami we get new topological cardinal inequalities for spaces Cp(X).
A particular case of Theorem 1 states that if L ⊆ Cp(X) is a Lindelöf Σ-space and the
Nagami index Nag(X) of X is less or equal ...
Ferrando, J. C.; Kakol, J.; López Pellicer, Manuel(Elsevier, 2016-08-01)
[EN] The concept of Sigma-base of neighborhoods of the identity of a topological group G is introduced. If the index set Sigma subset of N-N is unbounded and directed (and if additionally each subset of Sigma which is ...
[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 ...
López Pellicer, Manuel(Real Academia de Ciencias Exactas, Físicas y Naturales, 2008)
[ES] Con motivo del cambio de milenio, V. I. Arnold, en nombre de la Unión Matemática Internacional, consciente
de la imposibilidad de repetir la conferencia de Hilbert de 1900, se dirigió a varios matemáticos solicitándoles
...