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- W2022340034 abstract "Abstract The duality properties of the integration map associated with a vector measure m are used to obtain a representation of the (pre)dual space of the space L p ( m ) of p -integrable functions (where 1< p < ∞ ) with respect to the measure m . For this, we provide suitable topologies for the tensor product of the space of q -integrable functions with respect to m (where p and q are conjugate real numbers) and the dual of the Banach space where m takes its values. Our main result asserts that under the assumption of compactness of the unit ball with respect to a particular topology, the space L p ( m ) can be written as the dual of a suitable normed space." @default.
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- W2022340034 date "2009-10-01" @default.
- W2022340034 modified "2023-09-25" @default.
- W2022340034 title "TENSOR PRODUCT REPRESENTATION OF THE (PRE)DUAL OF THE Lp-SPACE OF A VECTOR MEASURE" @default.
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- W2022340034 doi "https://doi.org/10.1017/s1446788709000196" @default.
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