Strong Convergence and Weak Convergence
In this chapter, we shall be concerned with certain basic facts pertaining to strong-, weak- and weak* convergences, including the comparison of the strong notion with the weak notion, e.g., strong- and weak measurability, and strong- and weak analyticity. We also discuss the integration of B-space-valued functions, that is, the theory of Bochner’s integrals. The general theory of weak topologies and duality in locally convex linear topological spaces will be given in the Appendix.
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References for Chapter V
- S. Banach , N. Dunford-J. Schwartz  and E. Hille-R. S. Phillips .Google Scholar