The dual of the space of functions of bounded variation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2006 Latin Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Mathematica Bohemica, volume 131, pages 1-9 (issn: 0862-7959, eissn: 2464-7136,

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Authors: Aye, Khaing Khaing; Lee, Peng Yee;

doi: 10.21136/mb.2006.134078

The dual of the space of functions of bounded variation

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Abstract

Summary: We show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.

Keywords

dual space, Henstock integral, Nonseparable Banach spaces, Stieltjes integral, Functions of bounded variation, generalizations, Denjoy and Perron integrals, other special integrals, Integrals of Riemann, Stieltjes and Lebesgue type, regulated function, two-norm space, Linear function spaces and their duals, linear functional

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