Topological Linear Space Of Continuous Linear Operator,

This thesis has discussed the issues of linear non-continuous functionals and linear non-continuous operators on topological linear spaces. From the perspectives of T0 axiom , A1 axiom, Hamel dimension, Subspace, boundedness characteristic of space itself, the thesis comparatively comprehensively elucidates the sufficiency and necessity of the existence of linear non-continuous functionals and linear non-continuous operators, as well as the relationship between the two. There are no lack of innovative research in the thesis.