- Tytuł:
- Conical measures and properties of a vector measure determined by its range
- Autorzy:
-
Rodríguez-Piazza, L.
Romero-Moreno, M. - Powiązania:
- https://bibliotekanauki.pl/articles/1219104.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
vector measures
range
conical measures
operator ideal norms
Pettis integral - Opis:
- We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability is not determined by the range and study when every measure having the same range of a given measure has a Pettis derivative.
- Źródło:
-
Studia Mathematica; 1997, 125, 3; 255-270
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł