Denjoy integral and Henstock-Kurzweil integral in vector lattices. I

Toshiharu Kawasaki

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Displaying similar documents to “Denjoy integral and Henstock-Kurzweil integral in vector lattices. I”

Denjoy integral and Henstock-Kurzweil integral in vector lattices. II

Toshiharu Kawasaki (2009)

Czechoslovak Mathematical Journal

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In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.

Rotations of $λ$ -lattices

Jiří Karásek (1996)

Mathematica Bohemica

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In [2], J. Klimes studied rotations of lattices. The aim of the paper is to research rotations of the so-called $l$ -lattices introduced in [3] by V. Snasel.

Gauge integrals and series

Charles W. Swartz (2004)

Mathematica Bohemica

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This note contains a simple example which does clearly indicate the differences in the Henstock-Kurzweil, McShane and strong McShane integrals for Banach space valued functions.