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.
Cite this paper
Hua, N. , Kang, N. and Liao, H. (2020). Operator Matrices on Banach Spaces. Open Access Library Journal, 7, e6813. doi: http://dx.doi.org/10.4236/oalib.1106813.
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