TITLE:
Operator Matrices on Banach Spaces
AUTHORS:
Nan Hua, Ning Kang, Huan Liao
KEYWORDS:
Infinite Matrix, Matrix Transformation, Banach Space
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.10,
October
16,
2020
ABSTRACT: Since nonlinear schur theorem was proposed, it broke the limitation of linear operator matrices. And in this paper we study the summability theory for a class of matrices of nonlinear mapping, and the characterizations of a class of infinite matrix transformations are obtained. These results enrich the results on infinite matrices transformations, and have important meaning for the study of Banach space.