Pointwise products of some Banach function spaces and factorization
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2014
scientific article
english
- Banach ideal spaces
- Banach function spaces
- Calderón spaces
- Calderón–Lozanovskiĭ spaces
- Symmetric spaces
- Orlicz spaces
- Sequence spaces
- Pointwise multipliers
- Pointwise multiplication
- Factorization
EN The well-known factorization theorem of Lozanovskiĭ may be written in the form L-spaces, Lorentz spaces and Marcinkiewicz spaces are proved. These results are then used to prove factorization theorems for such spaces. Finally, it is proved in Theorem 11 that under some natural assumptions, a rearrangement invariant Banach function space may be factorized through a Marcinkiewicz space.
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