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.
KeywordsWeak Convergence Strong Convergence Weak Topology Normed Linear Space Linear Topological Space
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References for Chapter V
- S. Banach , N. Dunford-J. Schwartz  and E. Hille-R. S. Phillips .Google Scholar