{"title":"Order-type Henstock and McShane integrals in banach lattice setting","authors":"D. Candeloro, A. R. Sambucini","doi":"10.1109/SISY.2014.6923557","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":277041,"journal":{"name":"2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY)","volume":"231 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"33","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISY.2014.6923557","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 33
Abstract
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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