Some Applications of Grothendieck Sets

We call a subset M of an algebra of sets A a Grothendieck set for the Banach space ba(A) of bounded finitely additive scalar-valued measures on A equipped with the variation norm if each sequence {μn}∞ n=1 in ba(A) which is pointwise convergent onMis weakly convergent in ba(A), i. e., if there is μ ∈…
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November 10, 2020 0