Henstock-type integrals are studied for functions defined in a compact metric space T endowed with a regular σ -additive measure μ, and taking values in a Banach lattice X. In particular, the space [0,1] with the usual Lebesgue measure is considered. The norm- and the order-type integral are compared and interesting results are obtained when X is an L-space.
Order-type Henstock and McShane integrals in Banach lattice setting
CANDELORO, Domenico;SAMBUCINI, Anna Rita
2014
Abstract
Henstock-type integrals are studied for functions defined in a compact metric space T endowed with a regular σ -additive measure μ, and taking values in a Banach lattice X. In particular, the space [0,1] with the usual Lebesgue measure is considered. The norm- and the order-type integral are compared and interesting results are obtained when X is an L-space.File in questo prodotto:
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