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On the Dual of L1
Published online by Cambridge University Press: 20 November 2018
Extract
If (X, S,μ) is an arbitrary complemented measure space and X is σ-finite then (L1)* = L∞ or, more precisely, (L1)* is isometric and isomorphic to L∞ by the correspondence
It is well known that there exist non σ-finite spaces with (L1)* ≥ L∞.
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- Copyright © Canadian Mathematical Society 1965
Footnotes
Partly supported by a National Research Council (Canada) Senior Research Fellowship.
Partly supported by a National Research Council (Canada) Senior Research Fellowship.