Abstract
The sixth chapter deals with Summability Theory. This chapter has been included the Integral Calculus Part of this book for historical reasons. It is divided into two sections. The first section deals with sequences and series and different types of summability, such as unconditional convergence, subseries convergence, and absolute convergence. Generalized series, defined on nonnecessarily countable index sets, are also defined and studied. Biorthogonal systems, in particular, Markushevich bases and Schauder bases, are also overviewed in the first section of this sixth chapter. The second section covers sequence spaces and methods of convergence. It is worth mentioning that the sequence spaces considered in this book are based on topological modules.
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