A lifting theorem for locally convex subspaces of $L_0$

• Autorzy: R. G. Faber
• Języki publikacji: EN

Abstrakty

EN

We prove that for every closed locally convex subspace E of $L_0$ and for any continuous linear operator T from $L_0$ to $L_0/E$ there is a continuous linear operator S from $L_0$ to $L_0$ such that T = QS where Q is the quotient map from $L_0$ to $L_0/E$.

Kategorie tematyczne

• 46A22: Theorems of Hahn-Banach type; extension and lifting of functionals and operators
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 115
• Numer: 1
• Strony: 73-85

Daty

wydano

1995

otrzymano

1994-07-22

poprawiono

1995-01-23

Twórcy

autor

R. G. Faber

• Department of Mathematics, University of Illinois, Urbana, Illinois 61801, U.S.A.

Bibliografia

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