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Matematicheskie Zametki, 1976, Volume 20, Issue 3, Pages 401–408 (Mi mzm7859)  

The integral representation of vector measures on a completely regular space

O. E. Tsitritskii

Kiev State University
Abstract: We consider the vector space $C(X,E)$ of all bounded continuous functions from a completely regular space $X$ into a Banach space $E$. It is given a special locally convex topology $\xi$. We prove the analog of the Riesz–Markov theorem for the $\xi$-continuous linear operators which map $C(X,E)$ into a Banach space $F$.
Received: 04.07.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 3, Pages 780–784
DOI: https://doi.org/10.1007/BF01097250
Bibliographic databases:
UDC: 519
Language: Russian
Citation: O. E. Tsitritskii, “The integral representation of vector measures on a completely regular space”, Mat. Zametki, 20:3 (1976), 401–408; Math. Notes, 20:3 (1976), 780–784
Citation in format AMSBIB
\Bibitem{Tsi76}
\by O.~E.~Tsitritskii
\paper The integral representation of vector measures on a~completely regular space
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 3
\pages 401--408
\mathnet{http://mi.mathnet.ru/mzm7859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=435339}
\zmath{https://zbmath.org/?q=an:0335.46025}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 3
\pages 780--784
\crossref{https://doi.org/10.1007/BF01097250}
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