banach格集上的阶型Henstock和McShane积分

2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY) Pub Date : 2014-05-26 DOI:10.1109/SISY.2014.6923557

D. Candeloro, A. R. Sambucini

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引用次数: 33

摘要

研究了定义在紧度量空间T上具有正则σ-加测度μ的函数的henstock型积分，并在Banach格x上取值，特别考虑了具有通常Lebesgue测度的空间[0,1]。当X是l空间时，比较了范数型积分和阶型积分，得到了一些有趣的结果。2010 AMS数学学科分类:28B20, 46G10。

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Order-type Henstock and McShane integrals in banach lattice setting

Henstock-type integrals are studied for functions defined in a compact metric space T endowed with a regular σ-addltive 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. 2010 AMS Mathematics Subject Classification: 28B20, 46G10.

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2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY)

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