Title :
Order-type Henstock and McShane integrals in banach lattice setting
Author :
Candeloro, Domenico ; Sambucini, Anna Rita
Author_Institution :
Dipt. di Mat. e Inf., Univ. of Perugia, Perugia, Italy
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.
Keywords :
Banach spaces; functions; Banach lattice setting; L-space; Lebesgue measure; McShane integral; Order-type Henstock integral; compact metric space; norm-type integral; regular σ-additive measure; Extraterrestrial measurements; Informatics; Intelligent systems; Lattices; Sea measurements; Vectors; Banach lattice; Banach space; Henstock integral; McShane integral; order-continuity;
Conference_Titel :
Intelligent Systems and Informatics (SISY), 2014 IEEE 12th International Symposium on
Conference_Location :
Subotica
DOI :
10.1109/SISY.2014.6923557
