Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl

PL EN

Preferencje
Język
Widoczny [Schowaj] Abstrakt
Liczba wyników
• # Artykuł - szczegóły

## Studia Mathematica

2009 | 193 | 3 | 269-283

## Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces

EN

### Abstrakty

EN
If G is the closure of $L_{∞}$ in exp L₂, it is proved that the inclusion between rearrangement invariant spaces E ⊂ F is strictly singular if and only if it is disjointly strictly singular and E ⊊ G. For any Marcinkiewicz space M(φ) ⊂ G such that M(φ) is not an interpolation space between $L_{∞}$ and G it is proved that there exists another Marcinkiewicz space M(ψ) ⊊ M(φ) with the property that the M(ψ) and M(φ) norms are equivalent on the Rademacher subspace. Applications are given and a question of Milman answered.

269-283

wydano
2009

### Twórcy

autor
• Department of Mathematics, Samara State University, Samara 443029, Russia
autor
• Department of Mathematics, Voronezh State University, Voronezh 394006, Russia