Moments of vector measures and Pettis integrable functions

Miloslav Duchoň

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 2, page 541-549
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Duchoň, Miloslav. "Moments of vector measures and Pettis integrable functions." Czechoslovak Mathematical Journal 61.2 (2011): 541-549. <http://eudml.org/doc/197131>.

@article{Duchoň2011,
abstract = {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.},
author = {Duchoň, Miloslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {locally convex vector space; vector valued measure; Pettis integrable function; moments of such measures and functions; locally convex vector space; moment of a vector valued measure; moment of a Pettis integrable function},
language = {eng},
number = {2},
pages = {541-549},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Moments of vector measures and Pettis integrable functions},
url = {http://eudml.org/doc/197131},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Duchoň, Miloslav
TI - Moments of vector measures and Pettis integrable functions
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 541
EP - 549
AB - 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.
LA - eng
KW - locally convex vector space; vector valued measure; Pettis integrable function; moments of such measures and functions; locally convex vector space; moment of a vector valued measure; moment of a Pettis integrable function
UR - http://eudml.org/doc/197131
ER -

References

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  2. Bartle, R. G., Dunford, N., Schwartz, J. C., 10.4153/CJM-1955-032-1, Canad. J. Math. 7 (1955), 289-305. (1955) Zbl0068.09301MR0070050DOI10.4153/CJM-1955-032-1
  3. Debieve, C., Integration par rapport a une mesure vectorielle, Ann. de la Societé Scientif. de Bruxelles. 11 (1973), 165-185. (1973) Zbl0268.28004MR0318440
  4. Duchoň, M., Debieve, C., Moments of vector-valued functions and measures, Tatra Mt. Math. Publ. 42 (2009), 199-210. (2009) MR2543917
  5. Dunford, N., Schwartz, J. T., Linear Operators, Part I, Interscience, New York, USA (1966). (1966) Zbl0146.12601
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  7. Hausdorff, F., 10.1007/BF01175684, Math. Z. 16 (1923), 220-248. (1923) MR1544592DOI10.1007/BF01175684
  8. Lewis, D. R., 10.2140/pjm.1970.33.157, Pac. J. Math. 33 (1970), 157-165. (1970) Zbl0195.14303MR0259064DOI10.2140/pjm.1970.33.157
  9. Lorentz, G. G., Bernstein Polynomials, Toronto University Press, Toronto, Canada (1953). (1953) Zbl0051.05001MR0057370
  10. Tweddle, I., 10.1017/S0017089500000409, Glasgow Math. J. 9 (1968), 123-127. (1968) Zbl0159.41802MR0239395DOI10.1017/S0017089500000409
  11. Widder, D. V., The Laplace Transform, Princeton University Press, Princeton, N.J. (1941). (1941) Zbl0063.08245MR0005923

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