Lineability and spaceability on vector-measure spaces

• Autorzy: Giuseppina Barbieri , Francisco J. García-Pacheco , Daniele Puglisi
• Języki publikacji: EN

Abstrakty

EN

It is proved that if X is infinite-dimensional, then there exists an infinite-dimensional space of X-valued measures which have infinite variation on sets of positive Lebesgue measure. In term of spaceability, it is also shown that $ca(ℬ,λ,X)∖ M_{σ}$, the measures with non-σ-finite variation, contains a closed subspace. Other considerations concern the space of vector measures whose range is neither closed nor convex. All of those results extend in some sense theorems of Muñoz Fernández et al. [Linear Algebra Appl. 428 (2008)].

Kategorie tematyczne

• 46E27: Spaces of measures
• 28A33: Spaces of measures, convergence of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 219
• Numer: 2
• Strony: 155-161

Daty

wydano

2013

Twórcy

autor

Giuseppina Barbieri

• Dipartimento di Matematica e Informatica, Università di Udine, 33100 Udine, Italy

autor

Francisco J. García-Pacheco

• Department of Mathematical Sciences, University of Cadiz, Puerto Real 11510, Spain

autor

Daniele Puglisi

• Department of Mathematics and Computer Sciences, University of Catania, 95125, Catania, Italy

Identyfikatory

DOI

10.4064/sm219-2-5