Domains of integral operators

• Autorzy: Iwo Labuda , Paweł Szeptycki
• Języki publikacji: EN

Abstrakty

EN

It is shown that the proper domains of integral operators have separating duals but in general they are not locally convex. Banach function spaces which can occur as proper domains are characterized. Some known and some new results are given, illustrating the usefulness of the notion of proper domain.

Słowa kluczowe

EN

integral operator; proper domain

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 44A05: General transforms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 111
• Numer: 1
• Strony: 53-68

Daty

wydano

1994

otrzymano

1993-08-12

poprawiono

1994-03-10

Twórcy

autor

Iwo Labuda

• Department of Mathematics, University of Mississippi, Oxford, ,Mississippi 38677, U.S.A.

autor

Paweł Szeptycki

• Department of Mathematics, University of Kansas, Lawrence, Kansas 66045, U.S.A.

Bibliografia

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