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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  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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