On abstract Stieltjes measure
Annales de l'institut Fourier (1971)
- Volume: 21, Issue: 3, page 143-154
- ISSN: 0373-0956
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topHuneycutt Jr., James E.. "On abstract Stieltjes measure." Annales de l'institut Fourier 21.3 (1971): 143-154. <http://eudml.org/doc/74043>.
@article{HuneycuttJr1971,
abstract = {In 1955, A. Revuz - Annales de l’Institut Fourier, vol. 6 (1955-56) - considered a type of Stieltjes measure defined on analogues of half-open, half-closed intervals in a partially ordered topological space. He states that these functions are finitely additive but his proof has an error. We shall furnish a new proof and extend some of this results to “measures” taking values in a topological abelian group.},
author = {Huneycutt Jr., James E.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3},
pages = {143-154},
publisher = {Association des Annales de l'Institut Fourier},
title = {On abstract Stieltjes measure},
url = {http://eudml.org/doc/74043},
volume = {21},
year = {1971},
}
TY - JOUR
AU - Huneycutt Jr., James E.
TI - On abstract Stieltjes measure
JO - Annales de l'institut Fourier
PY - 1971
PB - Association des Annales de l'Institut Fourier
VL - 21
IS - 3
SP - 143
EP - 154
AB - In 1955, A. Revuz - Annales de l’Institut Fourier, vol. 6 (1955-56) - considered a type of Stieltjes measure defined on analogues of half-open, half-closed intervals in a partially ordered topological space. He states that these functions are finitely additive but his proof has an error. We shall furnish a new proof and extend some of this results to “measures” taking values in a topological abelian group.
LA - eng
UR - http://eudml.org/doc/74043
ER -
References
top- [1] J.E. HUNEYCUTT, Jr., Extensions of abstract valued set functions, Transactions of the American Mathematical Society, vol. 141 (1969), 505-513. Zbl0181.41603MR42 #6182
- [2] J.E. HUNEYCUTT, Jr., Regularity of set functions and functions of bounded variations on the line, Revue Roumaine de Mathématiques Pures et Appliquées, vol. 14, (1969), n° 8, 1 113-1 119. Zbl0187.06802MR42 #1967
- [3] Jr. VON NEUMANN, Functional Operators, Vol. I; Measures and Integrals, Princeton University Press, Princeton, 1950. Zbl0039.28401
- [4] A. REVUZ, Fonctions croissantes et mesures sur les espaces topologiques ordonnés, Annales de l'Institut Fourier, vol. 6 (1955, 1956). Zbl0074.28201MR19,536b
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