| Title:
|
Moments of vector measures and Pettis integrable functions (English) |
| Author:
|
Duchoň, Miloslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
541-549 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Conditions, under which the elements of a locally convex vector space are the moments of a regular vector-valued measure and of a Pettis integrable function, both with values in a locally convex vector space, are investigated. (English) |
| Keyword:
|
locally convex vector space |
| Keyword:
|
vector valued measure |
| Keyword:
|
Pettis integrable function |
| Keyword:
|
moments of such measures and functions |
| MSC:
|
28B05 |
| MSC:
|
28B99 |
| MSC:
|
44A60 |
| MSC:
|
46G12 |
| idZBL:
|
Zbl 1249.44009 |
| idMR:
|
MR2905422 |
| DOI:
|
10.1007/s10587-011-0072-4 |
| . |
| Date available:
|
2011-06-06T10:40:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141552 |
| . |
| Reference:
|
[1] Berg, Ch., Christensen, J. P. P., Ressel, P.: Harmonic Analysis on Semigroups.Springer-Verlag, Berlin, Germany (1954). MR 0747302 |
| Reference:
|
[2] Bartle, R. G., Dunford, N., Schwartz, J. C.: Weak compactness and vector measures.Canad. J. Math. 7 (1955), 289-305. Zbl 0068.09301, MR 0070050, 10.4153/CJM-1955-032-1 |
| Reference:
|
[3] Debieve, C.: Integration par rapport a une mesure vectorielle.Ann. de la Societé Scientif. de Bruxelles. 11 (1973), 165-185. Zbl 0268.28004, MR 0318440 |
| Reference:
|
[4] Duchoň, M., Debieve, C.: Moments of vector-valued functions and measures.Tatra Mt. Math. Publ. 42 (2009), 199-210. MR 2543917 |
| Reference:
|
[5] Dunford, N., Schwartz, J. T.: Linear Operators.Part I, Interscience, New York, USA (1966). Zbl 0146.12601 |
| Reference:
|
[6] Hausdorff, F.: Summationsmethoden und Momentenfolgen II.Math. Z. 9 (1921), 280-299. MR 1544467, 10.1007/BF01279032 |
| Reference:
|
[7] Hausdorff, F.: Momentprobleme fuer ein endliches Interval.Math. Z. 16 (1923), 220-248. MR 1544592, 10.1007/BF01175684 |
| Reference:
|
[8] Lewis, D. R.: Integration with respect to vector measures.Pac. J. Math. 33 (1970), 157-165. Zbl 0195.14303, MR 0259064, 10.2140/pjm.1970.33.157 |
| Reference:
|
[9] Lorentz, G. G.: Bernstein Polynomials.Toronto University Press, Toronto, Canada (1953). Zbl 0051.05001, MR 0057370 |
| Reference:
|
[10] Tweddle, I.: Weak compactness in locally convex spaces.Glasgow Math. J. 9 (1968), 123-127. Zbl 0159.41802, MR 0239395, 10.1017/S0017089500000409 |
| Reference:
|
[11] Widder, D. V.: The Laplace Transform.Princeton University Press, Princeton, N.J. (1941). Zbl 0063.08245, MR 0005923 |
| . |
