Weak convergence of sequences in function spaces

@inproceedings{Brace1969WeakCO,
  title={Weak convergence of sequences in function spaces},
  author={John W. Brace and Gilbert D. Friend},
  year={1969}
}
This paper is concerned with weak convergence of sequences of vector valued functions. The functions are to be members of a locally convex space. Thus it is meaningful to speak of the weak topology and weak convergence. Our interest comes from the fact that conditions for the weak convergence of bounded sequences are usually weaker than those for filters and nets. Theorems 224 give such results. A familiar example for scalar valued functions is the space C(K) in which a sequence {LYE} converges… CONTINUE READING

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