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MR ZblKeywords: functional; orthogonally additive functional; two-norm space; function of bounded variation; Henstock integral; Stieltjes integral
Khaing, Khaing Aye; Lee, Peng Yee. Orthogonally additive functionals on $BV$. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 411-419. doi: 10.21136/MB.2004.134042
@article{10_21136_MB_2004_134042,
author = {Khaing, Khaing Aye and Lee, Peng Yee},
title = {Orthogonally additive functionals on $BV$},
journal = {Mathematica Bohemica},
pages = {411--419},
year = {2004},
volume = {129},
number = {4},
doi = {10.21136/MB.2004.134042},
mrnumber = {2102614},
zbl = {1080.46506},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134042/}
}
TY - JOUR AU - Khaing, Khaing Aye AU - Lee, Peng Yee TI - Orthogonally additive functionals on $BV$ JO - Mathematica Bohemica PY - 2004 SP - 411 EP - 419 VL - 129 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134042/ DO - 10.21136/MB.2004.134042 LA - en ID - 10_21136_MB_2004_134042 ER -
[1] J. Dieudonné: Foundations of Modern Analysis. Academic Press, N. Y., 1960. | MR
[2] D. Franková: Regulated functions. Math. Bohem. 116 (1991), 20–59. | MR
[3] T. H. Hildebrandt: Linear continuous functionals on the space $(BV)$ with weak topologies. Proc. Amer. Math. Soc. 17 (1966), 658–664. | MR | Zbl
[4] P. Y. Lee: Lanzhou Lectures on Henstock Integration. World Scientific, 1989. | MR | Zbl
[5] P. Y. Lee, R. Výborný: The Integral: An Easy Approach after Kurzweil and Henstock. Cambridge University Press, 2000. | MR
[6] W. Orlicz: Linear Functional Analysis. World Scientific, 1992. | MR | Zbl
[7] M. Tvrdý: Linear bounded functionals on the space of regular regulated functions. Tatra Mt. Math. Publ. 8 (1996), 203–210. | MR
[8] A. Zygmund: Trigonometric Series I and II. Cambridge University Press, 1977. | MR
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