Keywords: locally convex vector space; vector valued measure; Pettis integrable function; moments of such measures and functions
@article{10_1007_s10587_011_0072_4,
author = {Ducho\v{n}, Miloslav},
title = {Moments of vector measures and {Pettis} integrable functions},
journal = {Czechoslovak Mathematical Journal},
pages = {541--549},
year = {2011},
volume = {61},
number = {2},
doi = {10.1007/s10587-011-0072-4},
mrnumber = {2905422},
zbl = {1249.44009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0072-4/}
}
TY - JOUR AU - Duchoň, Miloslav TI - Moments of vector measures and Pettis integrable functions JO - Czechoslovak Mathematical Journal PY - 2011 SP - 541 EP - 549 VL - 61 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0072-4/ DO - 10.1007/s10587-011-0072-4 LA - en ID - 10_1007_s10587_011_0072_4 ER -
Duchoň, Miloslav. Moments of vector measures and Pettis integrable functions. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 541-549. doi: 10.1007/s10587-011-0072-4
[1] Berg, Ch., Christensen, J. P. P., Ressel, P.: Harmonic Analysis on Semigroups. Springer-Verlag, Berlin, Germany (1954). | MR
[2] Bartle, R. G., Dunford, N., Schwartz, J. C.: Weak compactness and vector measures. Canad. J. Math. 7 (1955), 289-305. | DOI | MR | Zbl
[3] Debieve, C.: Integration par rapport a une mesure vectorielle. Ann. de la Societé Scientif. de Bruxelles. 11 (1973), 165-185. | MR | Zbl
[4] Duchoň, M., Debieve, C.: Moments of vector-valued functions and measures. Tatra Mt. Math. Publ. 42 (2009), 199-210. | MR
[5] Dunford, N., Schwartz, J. T.: Linear Operators. Part I, Interscience, New York, USA (1966). | Zbl
[6] Hausdorff, F.: Summationsmethoden und Momentenfolgen II. Math. Z. 9 (1921), 280-299. | DOI | MR
[7] Hausdorff, F.: Momentprobleme fuer ein endliches Interval. Math. Z. 16 (1923), 220-248. | DOI | MR
[8] Lewis, D. R.: Integration with respect to vector measures. Pac. J. Math. 33 (1970), 157-165. | DOI | MR | Zbl
[9] Lorentz, G. G.: Bernstein Polynomials. Toronto University Press, Toronto, Canada (1953). | MR | Zbl
[10] Tweddle, I.: Weak compactness in locally convex spaces. Glasgow Math. J. 9 (1968), 123-127. | DOI | MR | Zbl
[11] Widder, D. V.: The Laplace Transform. Princeton University Press, Princeton, N.J. (1941). | MR | Zbl
Cité par Sources :