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Modulus of Lattice-valued Measures
S. S. Khurana
Received: August 14, 2009; Accepted: February 3, 2010
Abstract. Let X be a completely regular Hausdorff space, E a Banach lattice, and m an E-valued countably additive, regular Borel measure on X. Some results about the countable additivity and regularity of the modulus |m | are proved. Also in special cases, it is proved that L1(m)= L1(|m|).
Keywords: moduls of a measure; t-smooth and tight vector measures.
AMS Subject classification: Primary: 28B15, 28C05, 28C15, 46G10 Secondary: 46B42
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