A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure
2005
We present a non-commutative extension of the classical Yosida–Hewitt decomposition of a finitely additive measure into its σ-additive and singular parts. Several applications are given to the characterisation of bounded convex sets in Banach spaces of measurable operators which are closed locally in measure.
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