The Space l^(p)
Gokulananda Das, Sudarsan Nanda · 2021
Chapter seven discusses the generalized sequence spaces arose from the space of absolutely almost convergent sequences, many topological and functional analytic properties have been discussed in this chapter. It is worth mentioning that some properties are not similar to the corresponding properties of the space of absolutely convergent sequences. Finally at the end of the chapter the concept of absolute Banach limits and some outstanding conjectures have been stated Just as convergence is related to strong convergence in the same vein almost convergence is related to a concept called strong almost convergence which was introduced by Maddox in the year 1968.