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Studia Mathematica

2013 | 219 | 2 | 155-161
Tytuł artykułu

Lineability and spaceability on vector-measure spaces

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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)].
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155-161
Opis fizyczny
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wydano
2013
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autor
• Dipartimento di Matematica e Informatica, Università di Udine, 33100 Udine, Italy
• Department of Mathematical Sciences, University of Cadiz, Puerto Real 11510, Spain
autor
• Department of Mathematics and Computer Sciences, University of Catania, 95125, Catania, Italy
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