The extremal points of the range of a vector-valued measure
Glasgow mathematical journal, Tome 13 (1972) no. 1, pp. 61-63
Voir la notice de l'article provenant de la source Cambridge University Press
Recently, several papers have investigated conditions under which the range of a vectorvalued measure is a compact convex set (see e.g. [1], [2], [3]). It therefore seems of interest to characterise the extremal points of the range in such cases.
Tweddle, I. The extremal points of the range of a vector-valued measure. Glasgow mathematical journal, Tome 13 (1972) no. 1, pp. 61-63. doi: 10.1017/S0017089500001385
@article{10_1017_S0017089500001385,
author = {Tweddle, I.},
title = {The extremal points of the range of a vector-valued measure},
journal = {Glasgow mathematical journal},
pages = {61--63},
year = {1972},
volume = {13},
number = {1},
doi = {10.1017/S0017089500001385},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001385/}
}
TY - JOUR AU - Tweddle, I. TI - The extremal points of the range of a vector-valued measure JO - Glasgow mathematical journal PY - 1972 SP - 61 EP - 63 VL - 13 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001385/ DO - 10.1017/S0017089500001385 ID - 10_1017_S0017089500001385 ER -
[1] 1.Kingman, J. F. C. and Robertson, A. P., On a theorem of Lyapunov, J. London Math. Soc. 43 (1968), 347–351. Google Scholar | DOI
[2] 2.Schmets, J., Sur une generalisation d'une théorème de Lyapounov, Bull. Soc. Royale Liège 35 (1966), 185–194. Google Scholar
[3] 3.Uhl, J. J. Jr, The range of a vector-valued measure, Proc. Amer. Math. Soc. 23 (1969), 158–163. Google Scholar
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