On Restriction Properties of Multiplication Operators
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A multiplication operator A acting in a rearrangement-invariant function space E is considered. Infinite dimensional subspaces X of E for which the restriction A|X is an isomorphism are described. Applications to multiplied trigonometric sequences in Banach function spaces are given.
rearrangement-invariant function space, multiplication operator, Linear operators on function spaces (general), trigonometric sequences, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Banach function spaces
rearrangement-invariant function space, multiplication operator, Linear operators on function spaces (general), trigonometric sequences, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Banach function spaces
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