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Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)

100%

Barbieri G., García-Pacheco F., Puglisi D.

Studia Mathematica

2014

tom 224

nr 2

193

Lineability and spaceability on vector-measure spaces

100%

Barbieri G., García-Pacheco F., Puglisi D.

Studia Mathematica

2013

tom 219

nr 2

155-161

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)].

Ograniczanie wyników

2 Studia Mathematica

2 Barbieri G.

2 García-Pacheco F.

2 Puglisi D.

1 2014

1 2013

Wyniki wyszukiwania

Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)

Lineability and spaceability on vector-measure spaces