Abstract.
Strongly additive and non-strongly additive vector measures are studied in the context of spaces of operators. Also, order properties and embedding properties of Banach lattices are linked to the notion of strong additivity.
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Lewis, P., Muller, K. Isomorphic Embeddings and Strongly Additive Measures. Monatsh. Math. 143, 21–33 (2004). https://doi.org/10.1007/s00605-003-0144-0
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DOI: https://doi.org/10.1007/s00605-003-0144-0