Improvements of thorp-rolewicz theorems on operator series

Li Ronglu (Department of Mathematics, Harbin Institute of Technology, Harbin, China) ;
Cui Chengri (Department of Mathematics, Harbin Institute of Technology, Harbin, China) ;
Cho, Min-Hyung (Department of Applied Mathematics, Kum-Oh National University of Technology, Kumi 730-701)

In this paper, we improve a series of results for operator series by Thorp and Rolewicz.

J. London Math. Soc. v.44 Sequential-Evaluation Convergence B. L. D. Thorp
Demonstratio Mathematica XXI On Unconditional Convergence of Linear Operators S. Rolewicz
J. Math. Anal. Appl. v.172 Locally Convex Spaces Containing No Copy of c0 Li Ronglu;Bu Qingying
Sequences and Series in Banach Spaces J. Diestel
Bull. Korean Math. Soc. v.29 BoundedMultiplier Convergent Series and Its Applications Li Ronglu;MinHyung Cho