- Tytuł:
- On operator ideals related to (p,σ)-absolutely continuous operators
- Autorzy:
-
López Molina, J. A.
Sánchez Pérez, E. A. - Powiązania:
- https://bibliotekanauki.pl/articles/1206151.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
tensor norms
operator ideals
(p,σ)-absolutely continuous operators
$g_{p,σ}$-nuclear and $g_{p,σ}$ integral operators - Opis:
- We study tensor norms and operator ideals related to the ideal $P_{p,σ}$, 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with $P_{p,σ}$ (in the sense of Defant and Floret), we characterize the $(α')^t$-nuclear and $(α')^t$- integral operators by factorizations by means of the composition of the inclusion map $L^r(μ) → L^1(μ) + L^p(μ)$ with a diagonal operator $B_w:L^{∞}(μ) → L^r(μ)$, where r is the conjugate exponent of p'/(1-σ). As an application we study the reflexivity of the components of the ideal $P_{p,σ}$.
- Źródło:
-
Studia Mathematica; 2000, 138, 1; 25-40
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł