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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
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
Linking options:
https://www.mathnet.ru/eng/mzm7859 https://www.mathnet.ru/eng/mzm/v20/i3/p401
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