- Tytuł:
- Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces
- Autorzy:
-
Jimenéz Sevilla, M.
Payá, Rafael - Powiązania:
- https://bibliotekanauki.pl/articles/1218802.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
norm attaining multilinear forms and polynomials
weakly continuous multilinear forms and polynomials
Lorentz sequence spaces - Opis:
- For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space of all continuous N-linear forms on X, but there are continuous (N+1)-linear forms on X which cannot be approximated by norm attaining (N+1)-linear forms. Actually,X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
- Źródło:
-
Studia Mathematica; 1998, 127, 2; 99-112
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł