Contractive projections onto isometric copies of L1(ν) in strictly monotone Banach lattices

• Autorzy: Wójtowicz M.
• Języki publikacji: EN

Abstrakty

EN

Let Y be a Banach lattice and X a strictly monotone sublattice of Y. Every isometric copy of an L1-space in X is 1-complemented in Y (Theorem l). This is an extension of the classical result of Pełczyński for Y = X = L1(my), and of Dor for Y = X being q-concave. We also study the consequences of the existence of isometric copies of l1 in strictly monotone E[phi](my)-spaces, where E[phi](my) denotes the ideal of an Orlicz space L[phi](my) of the elements with absolutely continuous norm.

Słowa kluczowe

EN

strictly monotone Banach; isometry; contractive projection; Orlicz space; L1-space

PL

krata Banacha ściśle monotoniczna; izometria; rzutowanie zawężające; przestrzeń Orlicza; przestrzeń L1

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 1
• Strony: 1--12
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Wójtowicz M.

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

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