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Weak convergence of vector-valued series and integrals

Published online by Cambridge University Press:  09 April 2009

R. E. Edwards
R. E. Edwards
Affiliation:
Department of Mathematics, Inst. of Advanced Studies, A.N.U., Canberra.
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Throughout this paper E, F and G denote separated locally convex spaces, F C G, the injection i: F → G being continuous (i.e. the topology on F is finer than that induced on it by the topology on G). E′, F′ and G′ denote the respective duals of E, F and G. i′ is the adjoint map of G′ into F', which is defined by restricting linear forms on G to F C G.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 2 , May 1963 , pp. 159 - 166
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Grothendick, A., Sur les applications faiblement compactes d'espaces du type C(K), Canadian Journ. Math. 5 (1953), 129–173.CrossRefGoogle Scholar