Generalizations of the c0-l1-l∞ theorem of Bessaga and Pełczyński

• Autorzy: Wójtowicz M.
• Języki publikacji: EN

Abstrakty

EN

Let X and Y be two Banach spaces such that Y has a subsymmetric Schauder basis (y_n). We study the consequences of the following assumption: X* has a subspace isomorphic to Y. If the basis is shrinking, then X* contains a copy of Y** (Proposition 1), and if X has the so-called controlled separable projection property (in particular, if X is weakly compactly determined), then X* contains a copy of [y_n*]* (Theorem 1). These results are applied for Orlicz sequence spaces.

Słowa kluczowe

EN

Orlicz sequence space; quotient mapping; Schauder basis; theorem of Bessaga; theorem of Pełczyński; WCD-space

PL

baza Schaudera; ciąg przestrzeni Orlicza; odwzorowanie wartościujące; twierdzenie Bessagi; twierdzenie Pełczyńskiego

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2002
• Tom: Vol. 50, no 4
• Strony: 373--382
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Wójtowicz M.

• Institute of Mathematics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland

Bibliografia

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