Therefore, in this paper, I mainly explore theconvexity, smoothness, and convergence of the Banach sequential spaces l~p(E_i) and ces_p(E_i), and obtain some good results.

• 本文研究了Banach序列空间l~p(E_i)和ces_p(E_i)的某些凸性、光滑性和收敛性,得到了较好的结果,全文共分为五章。