This book considers convergence of adapted sequences of real and Banach space-valued integrable functions.
Table of Contents
Preface; 1. Types of convergence; 2. Martingale convergence theorems; 3. Sub- and supermartingale convergence theorems; 4. Basic inequalities for adapted sequences; 5. Convergence of generalized martingales in Banach spaces - the mean way; 6. General directed index sets and applications of amart theory; 7. Disadvantages of amarts: convergence of generalized martingales in Banach spaces - the pointwise way; 8. Convergence of generalized sub- and supermartingales in Banach lattices; 9. Closing remarks; References; List of notations; Subject index.
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