Moments of vector-valued functions and measures

Miloslav Duchoň; Camille Debiève

doi:10.2478/v10127-009-0019-4

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Moments of vector-valued functions and measures

Tatra Mountains Mathematical Publications

Volume 42 (2009): Issue 1 (April 2009)

By: Miloslav Duchoň and Camille Debiève

Open Access

|Nov 2012

Abstract

There are investigated conditions under which the elements of a normed vector space are the moments of a vector-valued measure, and of a Bochner integrable function, respectively, both with values in a Banach space.

References

[BDS] BARTLE, R.-DUNFORD, N.-SCHWARTZ, J. C.: Weak compactness and vectormeasures, Canad. J. Math. 7 (1955), 289-305.10.4153/CJM-1955-032-1
Search in Google Scholar
[D] DINCULEANU, N.: Vector Measures. Pergamon Press, New York, 1967.10.1016/B978-1-4831-9762-3.50004-4
Search in Google Scholar
[DS] DUNFORD, N.-SCHWARTZ, J. T.: Linear Operators. Part I, in: Pure Appl. Math. (N.Y.), Vol. 6, Wiley-Intersci., New York, 1958.
Search in Google Scholar
[E] EDWARDS, R. E.: Functional Analysis: Theory and Applications. Holt Reinehart and Winston, Inc., New York, 1965.
Search in Google Scholar
[H] HAUSDORFF, F.: Summations Methoden und Momentenfolgen II, Math. Z. 9 (1921), 280-299.10.1007/BF01279032
Search in Google Scholar
[HS] HEWITT, E.-STROMBERG, K.: Real and Abstract Analysis. Springer-Verlag, Berlin, 1965.10.1007/978-3-642-88044-5
Search in Google Scholar
[Lo] LORENTZ, G. G.: Bernstein Polynomials. Toronto University Press, Toronto, 1953.
Search in Google Scholar
[W] WIDDER, D. V.: The Laplace Transform. Princetom University Press, Princeton, N. J., 1946.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0019-4 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 199 - 210

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Banach space,

vector valued measure,

Bochner integral,

moments of measures and functions

Related subjects:

Mathematics,

General mathematics

© 2012 Miloslav Duchoň, Camille Debiève, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 42 (2009): Issue 1 (April 2009)