Order-type Henstock and McShane integrals in Banach lattice setting

Domenico Candeloro; Anna Rita Sambucini

doi:10.1109/SISY.2014.6923557

Order-type Henstock and McShane integrals in Banach lattice setting

Functional Analysis 2018-01-23 v2

Authors: Domenico Candeloro , Anna Rita Sambucini

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Abstract

We study Henstock-type integrals for functions defined in a compact metric space $T$ endowed with a regular $\sigma$ -additive measure $\mu$ , and taking values in a Banach lattice $X$ . In particular, the space $[0,1]$ with the usual Lebesgue measure is considered.

Keywords

henstock integral mcshane integral banach lattice order-type integration compact metric space regular measure vector-valued functions

Cite

@article{arxiv.1405.6502,
  title  = {Order-type Henstock and McShane integrals in Banach lattice setting},
  author = {Domenico Candeloro and Anna Rita Sambucini},
  journal= {arXiv preprint arXiv:1405.6502},
  year   = {2018}
}

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5 pages

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