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Listar por autor "Kakol, Jerzy"

Mostrando ítems 1-8 de 8

A note on the weak topology of spaces Ck (X) of continuous functions

Kakol, Jerzy; Moll López, Santiago Emmanuel (Springer-Verlag, 2021-07)

[EN] It is well known that the property of being a bounded set in the class of topological vector spaces E is not a topological property, where a subset B ¿ E is called a bounded set if every neighbourhood of zero U in E ...
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, ...
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 spaces C^{b}(X) weakly K-analytic

Carlos Ferrando, Juan; Kakol, Jerzy; López Pellicer, Manuel (John Wiley & Sons, 2017)

[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 ...
On the separable quotient problem for Banach Spaces

Ferrando, J. C.; Kakol, Jerzy; López Pellicer, Manuel; Sliwa, Wieslaw (Adam Mickiewicz University, 2018-12)

[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 ...
On Valdivia strong version of Nikodym boundedness property

Kakol, Jerzy; López Pellicer, Manuel (Elsevier, 2017)

[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 ...
Some topological cardinal inequalities for spaces Cp(X)

Ferrando, J. C.; Kakol, Jerzy; López Pellicer, Manuel; Muñoz, M. (Elsevier, 2013-06-15)

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 ...