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Published in 2021 at "Japanese Journal of Mathematics"
DOI: 10.1007/s11537-021-2116-3
Abstract: In 1973, Diestel published his seminal paper Grothendieck spaces and vector measures that drew a connection between Grothendieck spaces (Banach spaces for which weakand weak*-sequential convergences in the dual space coincide) and vector measures. This…
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Keywords:
mathematics;
spaces landscape;
grothendieck;
grothendieck spaces ... See more keywords
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Published in 2019 at "Ricerche di Matematica"
DOI: 10.1007/s11587-019-00463-x
Abstract: We prove that the range of sequence of vector measures converging widely satisfies a weak lower semicontinuity property, that the convergence of the range implies the strict convergence (convergence of the total variation) and that…
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Keywords:
vector measures;
convergence;
monotonicity;
range convergence ... See more keywords